{"id":32674,"date":"2025-03-28T17:51:38","date_gmt":"2025-03-28T17:51:38","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=32674"},"modified":"2025-03-28T17:51:38","modified_gmt":"2025-03-28T17:51:38","slug":"%d8%a7%d9%84%d8%aa%d9%83%d8%a7%d9%85%d9%84%d8%a7%d8%aa-%d8%ba%d9%8a%d8%b1-%d8%a7%d9%84%d9%85%d8%ad%d8%af%d8%af%d8%a9-%d9%88%d8%a7%d9%84%d8%aa%d9%82%d9%86%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d8%a3%d8%b3","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/ar\/%d8%a7%d9%84%d8%aa%d9%83%d8%a7%d9%85%d9%84%d8%a7%d8%aa-%d8%ba%d9%8a%d8%b1-%d8%a7%d9%84%d9%85%d8%ad%d8%af%d8%af%d8%a9-%d9%88%d8%a7%d9%84%d8%aa%d9%82%d9%86%d9%8a%d8%a7%d8%aa-%d8%a7%d9%84%d8%a3%d8%b3\/","title":{"rendered":"\u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0648\u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u062a\u0643\u0627\u0645\u0644"},"content":{"rendered":"<style>\n    p, ul, ol {\n        text-align: justify;\n    }\n    h1, h2, h3 {\n    text-align:center;\n    }\n    <\/style>\n<p>    <center><\/p>\n<h1>\u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0648\u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u062a\u0643\u0627\u0645\u0644<\/h1>\n<p><\/center><\/p>\n<p style=\"text-align:center;\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u064a\u062a\u0645 \u062a\u0642\u062f\u064a\u0645 \u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0627\u0644\u0623\u0628\u0633\u0637\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u062e\u0635\u0627\u0626\u0635 \u0639\u0627\u0645\u0644 \u0627\u0644\u062a\u0643\u0627\u0645\u0644. \u064a\u0634\u0645\u0644 \u0630\u0644\u0643 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0648\u0627\u0644\u0623\u0633\u064a\u0629\u060c \u0648\u0627\u0644\u0647\u0627\u064a\u0628\u0631 \u0628\u0648\u0644\u064a\u0629\u060c \u0648\u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629.<\/em><\/p>\n<p style=\"text-align:center;\"><strong><u>\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645<\/u>:<\/strong><br \/>\u0628\u0646\u0647\u0627\u064a\u0629 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649<\/p>\n<ol>\n<li><strong>\u0641\u0647\u0645<\/strong> \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f \u0643\u0639\u0645\u0644\u064a\u0629 \u0639\u0643\u0633\u064a\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642.<\/li>\n<li><strong>\u062d\u0633\u0627\u0628<\/strong> \u062a\u0643\u0627\u0645\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0648\u0627\u0644\u062a\u0639\u0627\u0628\u064a\u0631 \u0627\u0644\u062a\u064a \u062a\u0634\u0645\u0644 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0623\u0633\u064a\u0629\u060c \u0648\u0627\u0644\u0647\u0627\u064a\u0628\u0631 \u0628\u0648\u0644\u064a\u0629\u060c \u0648\u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629.<\/li>\n<li><strong>\u0627\u0633\u062a\u062e\u062f\u0627\u0645<\/strong> \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u062a\u0644\u0627\u0639\u0628\u0627\u062a \u0627\u0644\u062c\u0628\u0631\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u064f\u0633\u0647\u0644 \u062d\u0633\u0627\u0628\u0647\u0627.<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong>\u0641\u0647\u0631\u0633 \u0627\u0644\u0645\u062d\u062a\u0648\u064a\u0627\u062a<\/strong><br \/>\n    <a href=\"#1\">\u0623\u0647\u0645\u064a\u0629 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629<\/a><br \/>\n    <a href=\"#2\">\u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u0639\u0643\u0633\u064a\u0629\u060c \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629\u060c \u0648\u0627\u0644\u0628\u062f\u0627\u0626\u064a\u0627\u062a \u0644\u0644\u062f\u0648\u0627\u0644<\/a><br \/>\n    <a href=\"#3\">\u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u062a\u0643\u0627\u0645\u0644<\/a>\n    <\/p>\n<p>    <center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/4wSTxA7zY9k\" title=\"\u0645\u0634\u063a\u0644 \u0641\u064a\u062f\u064a\u0648 \u064a\u0648\u062a\u064a\u0648\u0628\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/center><\/p>\n<p>    <a name=\"1\"><\/a><br \/>\n    <\/br><\/br><\/p>\n<h2>\u0623\u0647\u0645\u064a\u0629 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629<\/h2>\n<p>\u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0647\u064a \u0623\u062f\u0627\u0629 \u0623\u0633\u0627\u0633\u064a\u0629 \u0641\u064a \u0639\u0644\u0645 \u0627\u0644\u062d\u0633\u0627\u0628\u060c \u0648\u0644\u0647\u0627 \u0645\u062c\u0645\u0648\u0639\u0629 \u0648\u0627\u0633\u0639\u0629 \u0645\u0646 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0641\u064a \u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0626\u064a\u0629 \u0648\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629. \u062a\u062a\u064a\u062d \u062d\u0633\u0627\u0628 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0628\u062f\u0627\u0626\u064a\u0629 \u0644\u062f\u0627\u0644\u0629 \u0645\u0639\u0637\u0627\u0629\u060c \u0648\u0647\u0648 \u0645\u0627 \u064a\u064f\u0633\u062a\u062e\u062f\u0645 \u0628\u062f\u0648\u0631\u0647 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u062d\u0627\u062a \u062a\u062d\u062a \u0627\u0644\u0645\u0646\u062d\u0646\u064a\u0627\u062a\u060c \u0648\u062d\u062c\u0648\u0645 \u0627\u0644\u0623\u062c\u0633\u0627\u0645\u060c \u0648\u062d\u0633\u0627\u0628 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a\u060c \u0648\u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0623\u062e\u0631\u0649 \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0648\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0648\u0627\u0644\u0625\u062d\u0635\u0627\u0621 \u0648\u0627\u0644\u0627\u0642\u062a\u0635\u0627\u062f. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0636\u0631\u0648\u0631\u064a\u0629 \u0644\u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0641\u0627\u0636\u0644\u064a\u0629\u060c \u0645\u0645\u0627 \u064a\u062c\u0639\u0644\u0647\u0627 \u0644\u0627 \u063a\u0646\u0649 \u0639\u0646\u0647\u0627 \u0641\u064a \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0645\u062c\u0627\u0644\u0627\u062a \u0627\u0644\u0639\u0644\u0648\u0645 \u0648\u0627\u0644\u062a\u0643\u0646\u0648\u0644\u0648\u062c\u064a\u0627.<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/56fMLiVPwDI\" title=\"\u0645\u0634\u063a\u0644 \u0641\u064a\u062f\u064a\u0648 \u064a\u0648\u062a\u064a\u0648\u0628\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/center><br \/>\n<a name=\"2\"><\/a><\/p>\n<h2>\u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a \u0627\u0644\u0639\u0643\u0633\u064a\u0629\u060c \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629\u060c \u0648\u0627\u0644\u0628\u062f\u0627\u0626\u064a\u0627\u062a \u0644\u0644\u062f\u0648\u0627\u0644<\/h2>\n<p>\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062f\u0627\u0644\u0629 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F(x)<\/span><\/span> \u0645\u0634\u062a\u0642\u062a\u0647\u0627 \u0647\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f(x)<\/span><\/span> \u0641\u064a \u0645\u062c\u0627\u0644 \u0645\u0639\u064a\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">I<\/span>\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0642\u0648\u0644 \u0625\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F(x)<\/span><\/span> \u0647\u064a \u0628\u062f\u0627\u0626\u064a\u0629 \u0644\u0640 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f(x)<\/span><\/span> \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0645\u062c\u0627\u0644.<\/p>\n<p>\u0645\u0646 \u0627\u0644\u0645\u0647\u0645 \u0623\u0646 \u0646\u0644\u0627\u062d\u0638 \u0623\u0646\u0647 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F(x)<\/span><\/span> \u0628\u062f\u0627\u0626\u064a\u0629 \u0644\u0640 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f(x)<\/span><\/span>\u060c \u0641\u0625\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">F(x) + C<\/span><\/span> \u0643\u0630\u0644\u0643\u060c \u062d\u064a\u062b \u0625\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0647\u0648 \u0623\u064a \u062b\u0627\u0628\u062a \u062d\u0642\u064a\u0642\u064a. \u064a\u064f\u0643\u062a\u0628 \u0647\u0630\u0627 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\int f(x) dx = F(x) + C<\/span>\n<p>\u0627\u0644\u062b\u0627\u0628\u062a <span class=\"katex-eq\" data-katex-display=\"false\">C<\/span> \u0647\u0648 \u0645\u0627 \u064a\u064f\u0639\u0631\u0641 \u0628\u0640 <strong>\u062b\u0627\u0628\u062a \u0627\u0644\u062a\u0643\u0627\u0645\u0644<\/strong>\u060c \u0648\u0648\u062c\u0648\u062f\u0647 \u064a\u0634\u064a\u0631 \u0625\u0644\u0649 \u0623\u0646 \u0628\u062f\u0627\u0626\u064a\u0629 \u0627\u0644\u062f\u0627\u0644\u0629 \u0644\u064a\u0633\u062a \u062f\u0627\u0644\u0629 \u0648\u062d\u064a\u062f\u0629\u060c \u0628\u0644 \u0639\u0627\u0626\u0644\u0629 \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0644: \u0645\u062c\u0645\u0648\u0639\u0629 \u062c\u0645\u064a\u0639 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u062a\u064a \u0645\u0634\u062a\u0642\u062a\u0647\u0627 \u0647\u064a <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">f(x)<\/span><\/span> \u0641\u064a \u0627\u0644\u0645\u062c\u0627\u0644 <span class=\"katex-eq\" data-katex-display=\"false\">I<\/span>.<\/p>\n<p>\u0643\u0644\u0645\u0627\u062a \u00ab\u0627\u0644\u0645\u0634\u062a\u0642\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629\u00bb\u060c \u0648\u00bb\u0627\u0644\u0628\u062f\u0627\u0626\u064a\u0629\u00bb\u060c \u0648\u00bb\u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u00bb \u0647\u064a \u062b\u0644\u0627\u062b\u0629 \u062a\u0639\u0628\u064a\u0631\u0627\u062a \u062a\u0639\u0646\u064a \u0627\u0644\u0641\u0643\u0631\u0629 \u0646\u0641\u0633\u0647\u0627\u060c \u0644\u0630\u0627 \u0646\u0633\u062a\u062e\u062f\u0645\u0647\u0627 \u0628\u0627\u0644\u062a\u0628\u0627\u062f\u0644. \u0628\u0627\u062e\u062a\u0635\u0627\u0631\u060c \u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f \u0647\u0648 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a\u060c \u0648\u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u0641\u0643\u0631\u0629 \u062a\u0646\u0628\u0639 \u062e\u0635\u0627\u0626\u0635\u0647 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629.<\/p>\n<h3>\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629<\/h3>\n<p>\u0644\u0643\u064a \u0646\u062a\u0645\u0643\u0646 \u0645\u0646 \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629\u060c \u0646\u062d\u062a\u0627\u062c \u0623\u0648\u0644\u064b\u0627 \u0625\u0644\u0649 \u0645\u0639\u0631\u0641\u0629 \u0628\u0639\u0636 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629\u060c \u0648\u0627\u0644\u062a\u064a \u062a\u064f\u0634\u062a\u0642 \u0645\u0628\u0627\u0634\u0631\u0629 \u0645\u0646 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0645\u0634\u062a\u0642\u0627\u062a.<\/p>\n<ol>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\int  \\dfrac{df(x)}{dx} dx = f(x) + C<\/span><\/span><\/br>\u0644\u0623\u0646 \u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f \u0647\u0648 \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0639\u0643\u0633\u064a\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642.<\/li>\n<p><\/br><\/p>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\int \\lambda f(x) dx = \\lambda \\int f(x) dx<\/span><\/span><\/br>\u062d\u064a\u062b \u0625\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">\\lambda<\/span> \u0647\u0648 \u062b\u0627\u0628\u062a \u062d\u0642\u064a\u0642\u064a. \u0648\u064a\u062d\u062f\u062b \u0647\u0630\u0627 \u0644\u0623\u0646:<\/br>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n{} \\displaystyle \\int \\lambda \\dfrac{d\\phi(x)}{dx}dx &amp;=  \\displaystyle \\int \\dfrac{d}{dx}\\lambda \\phi(x) dx \\\\ \\\\\n\n&amp;= \\lambda \\phi(x) + C_1 \\\\ \\\\\n\n&amp;= \\lambda(\\phi(x) + C_2) \\\\ \\\\\n\n&amp;= \\lambda \\displaystyle  \\int \\frac{d\\phi(x)}{dx}dx \\end{array}<\/span>\n<p>\u062b\u0645 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 <span class=\"katex-eq\" data-katex-display=\"false\">f(x) = \\dfrac{d\\phi(x)}{dx}<\/span> \u0646\u062d\u0635\u0644 \u0639\u0644\u0649:<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\int \\lambda f(x) dx = \\lambda \\int f(x)dx<\/span>\n<\/li>\n<p><\/br><\/p>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\int f(x) + g(x) dx = \\int f(x) dx + \\int g(x) dx <\/span><\/span>\n<p>\u064a\u0645\u0643\u0646 \u0625\u062b\u0628\u0627\u062a \u0630\u0644\u0643 \u0628\u0637\u0631\u064a\u0642\u0629 \u0645\u0634\u0627\u0628\u0647\u0629 \u0644\u0644\u0633\u0627\u0628\u0642. \u0644\u0646\u0623\u062e\u0630 \u062f\u0627\u0644\u062a\u064a\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">\\phi(x)<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">\\psi(x)<\/span> \u0628\u062d\u064a\u062b<\/p>\n<p style=\"text-align:center;\"><span class=\"katex-eq\" data-katex-display=\"false\">f(x) = \\dfrac{d\\phi(x)}{dx}<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">g(x) = \\dfrac{d\\psi(x)}{dx}<\/span>\n<p>\u0639\u0646\u062f\u0647\u0627 \u064a\u0643\u0648\u0646 \u0644\u062f\u064a\u0646\u0627:<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n{} \\displaystyle \\int f(x) + g(x) dx\n\n&amp;= \\displaystyle \\int \\dfrac{d\\phi(x)}{dx} +  \\dfrac{d\\psi(x)}{dx} dx \\\\ \\\\\n\n&amp;= \\displaystyle \\int \\dfrac{d}{dx} (\\phi(x)  + \\psi(x)) dx \\\\ \\\\\n\n&amp;= \\phi(x) + \\psi(x) + C \\\\ \\\\\n\n&amp;= (\\phi(x) + C_1) + (\\psi(x) + C_2) \\\\ \\\\\n\n&amp;= \\displaystyle \\int \\dfrac{d\\phi(x)}{dx} dx + \\int \\dfrac{d\\psi(x)}{dx}dx \\\\ \\\\\n\n&amp;= \\displaystyle \\int f(x) dx + \\int g(x) dx\n\n\\end{array}<\/span>\n<\/li>\n<\/ol>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u062a\u0643\u0627\u0645\u0644<\/h2>\n<p>\u062a\u0648\u062c\u062f \u062a\u0642\u0646\u064a\u0627\u062a \u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u062a\u0643\u0627\u0645\u0644 \u062a\u062a\u064a\u062d \u0644\u0646\u0627 \u062d\u0633\u0627\u0628 \u0628\u0639\u0636 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0627\u0646\u0637\u0644\u0627\u0642\u064b\u0627 \u0645\u0646 \u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0627\u0634\u062a\u0642\u0627\u0642. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0647 \u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0645\u0641\u064a\u062f\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0644\u0644\u062a\u0643\u0627\u0645\u0644:<\/p>\n<h3>\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f<\/h3>\n<ol>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\int 1 dx = x + C<\/span><\/span>\n<p dir=\"ltr\">\u0644\u0623\u0646  <span class=\"katex-eq\" data-katex-display=\"false\">\\dfrac{d}{dx} (x + C)= 1 <\/span>\n<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\int x^q dx = \\dfrac{x^{q+1}}{q+1}  + C,<\/span> \u0628\u0634\u0631\u0637 \u0623\u0646 \u064a\u0643\u0648\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">q\\neq -1<\/span><\/span>\n<p>\u0644\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\dfrac{d}{dx} \\left(\\dfrac{x^{q+1}}{q+1}  + C\\right) = x^q.<\/span><\/span><\/p>\n<\/li>\n<\/ol>\n<p>\u0645\u0639 \u0647\u0630\u0647 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062d\u0633\u0627\u0628 \u062a\u0643\u0627\u0645\u0644 \u0623\u064a \u0643\u062b\u064a\u0631\u0629 \u062d\u062f\u0648\u062f \u062f\u0648\u0646 \u0623\u064a \u0635\u0639\u0648\u0628\u0629.<\/p>\n<div style=\"background-color:#F3FFF3; padding:20px;\">\n<p><strong>\u0645\u062b\u0627\u0644:<\/strong><\/p>\n<ol>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\int \\left( 3x+2 \\right) dx =  \\dfrac{3}{2}x^2 + 2x + C<\/span><\/span><\/li>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\int \\left( 5x^2 + 2x + 3 \\right) dx= \\dfrac{5}{3}x^3 + x + 3x  + C<\/span><\/span><\/li>\n<li type=\"a\"><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\int \\left( 4x^{12} - 7x^{-1\/3} + 1 \\right) dx  <\/span><\/span> <\/li>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}\n\n{} &amp;= \\dfrac{4}{13}x^{13} - \\dfrac{7}{2\/3}x^{2\/3} + x + C \\\\ \\\\\n\n&amp;= \\dfrac{4}{13}x^{13} - \\dfrac{21}{2}x^{2\/3} + x + C\n\n\\end{array}<\/span>\n<\/ol>\n<\/div>\n<h3>\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u064a\u0629 \u0648\u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645<\/h3>\n<p>\u0627\u0646\u0637\u0644\u0627\u0642\u064b\u0627 \u0645\u0646 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0645\u0639\u0631\u0648\u0641\u0629 \u0644\u0627\u0634\u062a\u0642\u0627\u0642 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0623\u0633\u064a\u0629 \u0648\u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629\u060c \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0646\u062a\u0627\u0626\u062c \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ol>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\int e^{x}dx = e^{x} + C<\/span><\/span>\n<p>\u0644\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\dfrac{d}{dx}\\left(e^x + C\\right) = e^x<\/span><\/span><\/p>\n<\/li>\n<li><span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\int \\dfrac{1}{x} dx = ln|x| + C<\/span><\/span>\n<p>\u0644\u0623\u0646 <span dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\dfrac{d}{dx}\\left(ln|x| + C \\right) = \\dfrac{1}{|x|} sig(x) = \\dfrac{1}{x}<\/span><\/span><\/p>\n<p>\u062d\u064a\u062b \u0625\u0646 <span class=\"katex-eq\" data-katex-display=\"false\">sig(x)<\/span> \u0647\u064a \u062f\u0627\u0644\u0629 \u0627\u0644\u0625\u0634\u0627\u0631\u0629 \u0627\u0644\u0645\u0639\u0631\u0641\u0629 \u0643\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">sig(x) = \\left\\{\\begin{array}{} +1 &amp;,&amp;0\\lt x \\\\ -1 &amp;,&amp; x\\lt 0 \\end{array}\\right.<\/span>\n<\/li>\n<\/ol>\n<p>\u0646\u062a\u064a\u062c\u0629 \u062a\u0643\u0627\u0645\u0644 <span class=\"katex-eq\" data-katex-display=\"false\">1\/x<\/span> \u062a\u064f\u0645\u0643\u0651\u0646\u0646\u0627 \u0645\u0646 \u062a\u0648\u0633\u064a\u0639 \u0642\u062f\u0631\u062a\u0646\u0627 \u0639\u0644\u0649 \u062a\u0643\u0627\u0645\u0644 \u0627\u0644\u062f\u0648\u0627\u0644\u060c \u0625\u0630 \u064a\u0645\u0643\u0646\u0646\u0627 \u0627\u0644\u0628\u062f\u0621 \u0641\u064a \u062a\u0643\u0627\u0645\u0644 \u062f\u0648\u0627\u0644 \u062a\u062a\u0643\u0648\u0646 \u0645\u0646 \u0646\u0633\u0628\u0629 \u0628\u064a\u0646 \u0643\u062b\u064a\u0631\u0627\u062a \u062d\u062f\u0648\u062f.<\/p>\n<div style=\"background-color:#F3FFF3; padding:20px;\">\n<p><strong>\u0645\u062b\u0627\u0644:<\/strong><\/p>\n<ol>\n<li type=\"a\"><\/br>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n\\displaystyle \\int \\dfrac{x^2 + 3x + 2}{5x^2}dx &amp;= \\displaystyle \\int \\dfrac{1}{5} + \\dfrac{3}{5}\\cdot \\dfrac{1}{x} + \\dfrac{2}{5}\\cdot\\dfrac{1}{x^2}dx \\\\ \\\\\n\n&amp;=\\dfrac{x}{5}+\\dfrac{3}{5}ln(x) - \\dfrac{2}{5}\\dfrac{1}{x} + C\n\n\\end{array}<\/span>\n<\/li>\n<p><\/br><\/p>\n<li type=\"a\"><\/br>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n\\displaystyle \\int \\dfrac{x^2 - 3 x + 2}{(x-2)^2}dx &amp;= \\displaystyle \\int \\dfrac{(x-2)^2 + (x-2)}{(x-2)^2} dx \\\\ \\\\\n\n&amp;= \\displaystyle \\int 1 + \\dfrac{1}{x-2} dx \\\\ \\\\\n\n&amp;= x + \\displaystyle \\int \\dfrac{1}{x-2}dx = x + ln|x-2| + C\n\n\\end{array}<\/span>\n<p>\u0644\u0623\u0646<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\dfrac{d}{dx}\\left( ln|x-2| + C\\right) = \\dfrac{1}{|x-2|}sig(x-2) = \\dfrac{1}{x-2}<\/span>\n<\/ol>\n<\/div>\n<h3>\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0647\u0627\u064a\u0628\u0631 \u0628\u0648\u0644\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629<\/h3>\n<p>\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0647\u0627\u064a\u0628\u0631 \u0628\u0648\u0644\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0647\u064a:<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}\n\n{} sinh(x) &amp;=&amp; \\dfrac{e^x - e^{-x}}{2} \\\\ \\\\\n\ncosh(x) &amp;=&amp; \\dfrac{e^x + e^{-x}}{2}\n\n\\end{array}<\/span>\n<p>\u0648\u0628\u0645\u0627 \u0623\u0646\u0646\u0627 \u0631\u0623\u064a\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0643\u064a\u0641 \u064a\u0639\u0645\u0644 \u062a\u0643\u0627\u0645\u0644 \u0627\u0644\u062f\u0627\u0644\u0629 \u0627\u0644\u0623\u0633\u064a\u0629\u060c \u0641\u0644\u0646 \u0646\u0648\u0627\u062c\u0647 \u0623\u064a \u0645\u0634\u0643\u0644\u0629 \u0641\u064a \u062a\u0643\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 sinh \u0648 cosh.<\/p>\n<p>\u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0640 sinh\u060c \u0641\u0625\u0646 \u0627\u0644\u062d\u0633\u0627\u0628 \u0645\u0628\u0627\u0634\u0631 \u062a\u0642\u0631\u064a\u0628\u064b\u0627:<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rcl}\n\n{} \\displaystyle \\int sinh(x) dx\n\n&amp;=&amp; \\displaystyle \\int \\dfrac{e^x - e^{-x}}{2}dx \\\\ \\\\\n\n&amp;=&amp; \\dfrac{1}{2} \\left( \\displaystyle \\int e^x dx - \\int e^{-x}  dx \\right) \\\\ \\\\\n\n&amp;=&amp; \\dfrac{1}{2} \\left(e^x + e^{-x} \\right) + C = cosh(x) + C\n\n\\end{array}<\/span>\n<p>\u0648\u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0640 cosh\u060c \u0641\u0627\u0644\u062d\u0633\u0627\u0628\u0627\u062a \u0645\u0634\u0627\u0628\u0647\u0629 \u062a\u0642\u0631\u064a\u0628\u064b\u0627:<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}\n\n{} \\displaystyle \\int cosh(x) dx\n\n&amp;=&amp; \\displaystyle \\int \\dfrac{e^x + e^{-x}}{2}dx \\\\ \\\\\n\n&amp;=&amp; \\dfrac{1}{2} \\left( \\displaystyle \\int e^x dx + \\int e^{-x}  dx \\right) \\\\ \\\\\n\n&amp;=&amp; \\dfrac{1}{2} \\left(e^x - e^{-x} \\right) + C = sinh(x) + C\n\n\\end{array}<\/span>\n<p>\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0647\u0630\u0647\u060c \u062a\u0648\u062c\u062f \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0647\u0627\u064a\u0628\u0631 \u0628\u0648\u0644\u064a\u0629 \u0627\u0644\u0623\u062e\u0631\u0649 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u062a\u0643\u0627\u0645\u0644\u0647\u0627:<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}\n\n{} tanh(x) &amp;=&amp; \\dfrac{sinh(x)}{cosh(x)} \\\\\n\nsech(x) &amp;=&amp; \\dfrac{1}{cosh(x)} \\\\\n\n{}csch(x) &amp;=&amp; \\dfrac{1}{sinh(x)} \\\\\n\nctgh(x) &amp;=&amp; \\dfrac{1}{tanh(x)}\n\n\\end{array}<\/span>\n<p>\u0644\u0643\u0646 \u062a\u0643\u0627\u0645\u0644\u0647\u0627 \u064a\u062a\u0637\u0644\u0628 \u062a\u0642\u0646\u064a\u0627\u062a \u0623\u062e\u0631\u0649 \u0633\u0646\u062a\u0646\u0627\u0648\u0644\u0647\u0627 \u0641\u064a \u062d\u0635\u0635 \u0644\u0627\u062d\u0642\u0629.<\/p>\n<h3>\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629<\/h3>\n<p>\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0647\u064a <span class=\"katex-eq\" data-katex-display=\"false\">sin(x)<\/span> \u0648 <span class=\"katex-eq\" data-katex-display=\"false\">cos(x)<\/span>. \u0648\u062d\u0633\u0627\u0628 \u062a\u0643\u0627\u0645\u0644\u0627\u062a\u0647\u0627 \u0645\u0628\u0627\u0634\u0631 \u062a\u0642\u0631\u064a\u0628\u064b\u0627 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0645\u0639\u0631\u0641\u062a\u0646\u0627 \u0628\u0645\u0634\u062a\u0642\u0627\u062a\u0647\u0627.<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}\n\n{} \\displaystyle \\int sin(x) dx = -cos(x) + C \\\\ \\\\\n\n{} \\displaystyle \\int cos(x) dx = sen(x) + C\n\n\\end{array}<\/span>\n<p>\u0648\u0630\u0644\u0643 \u0644\u0623\u0646:<\/p>\n<p style=\"text-align:center;\" dir=\"ltr\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}\n\n{}  \\dfrac{d}{dx}\\left( sin(x) + C \\right) &amp;=&amp; cos(x) \\\\ \\\\\n\n{}  \\dfrac{d}{dx}\\left( cos(x) + C \\right) &amp;=&amp; -sin(x) \\\\ \\\\\n\n\\end{array}<\/span>\n<h2>\u0627\u0644\u062e\u0627\u062a\u0645\u0629<\/h2>\n<p>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0627\u0633\u062a\u0639\u0631\u0636\u0646\u0627 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0645\u0646 \u0627\u0644\u0623\u0633\u0633 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0648\u0635\u0648\u0644\u064b\u0627 \u0625\u0644\u0649 \u0623\u0628\u0633\u0637 \u062a\u0637\u0628\u064a\u0642\u0627\u062a\u0647\u0627 \u0627\u0644\u0639\u0645\u0644\u064a\u0629. \u062a\u0639\u0644\u0645\u0646\u0627 \u0643\u064a\u0641 \u0646\u064f\u0639\u0631\u0651\u0641\u0647\u0627 \u0643\u0639\u0645\u0644\u064a\u0629 \u0639\u0643\u0633\u064a\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642\u060c \u0648\u062a\u0639\u0631\u0641\u0646\u0627 \u0639\u0644\u0649 \u062e\u0635\u0627\u0626\u0635\u0647\u0627 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629\u060c \u0648\u0637\u0628\u0642\u0646\u0627 \u062a\u0642\u0646\u064a\u0627\u062a \u0645\u0628\u0627\u0634\u0631\u0629 \u0644\u062a\u0643\u0627\u0645\u0644 \u0627\u0644\u062f\u0648\u0627\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0648\u0627\u0644\u062f\u0648\u0627\u0644 \u0627\u0644\u0623\u0633\u064a\u0629\u060c \u0648\u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645\u064a\u0629\u060c \u0648\u0627\u0644\u0647\u0627\u064a\u0628\u0631 \u0628\u0648\u0644\u064a\u0629\u060c \u0648\u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0628\u0633\u064a\u0637\u0629. \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0627\u0631\u0641 \u062a\u0634\u0643\u0644 \u0627\u0644\u0623\u0633\u0627\u0633 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0644\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0645\u0633\u0627\u0626\u0644 \u0623\u0643\u062b\u0631 \u062a\u0639\u0642\u064a\u062f\u064b\u0627 \u0641\u064a \u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u0644\u0627\u062d\u0642\u064b\u0627\u060c \u0648\u0633\u062a\u0643\u0648\u0646 \u0636\u0631\u0648\u0631\u064a\u0629 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u062a\u0642\u062f\u0645\u0629 \u0641\u064a \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621 \u0648\u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0648\u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0623\u062e\u0631\u0649. \u0648\u0645\u0646 \u062e\u0644\u0627\u0644 \u0647\u0630\u0627 \u0627\u0644\u0623\u0633\u0627\u0633\u060c \u0633\u064a\u0643\u0648\u0646 \u0628\u0627\u0644\u0625\u0645\u0643\u0627\u0646 \u062a\u0642\u062f\u064a\u0645 \u062a\u0642\u0646\u064a\u0627\u062a \u0623\u0643\u062b\u0631 \u062a\u0642\u062f\u0645\u064b\u0627 \u0641\u064a \u0627\u0644\u062d\u0635\u0635 \u0627\u0644\u0642\u0627\u062f\u0645\u0629.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0648\u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u062a\u0643\u0627\u0645\u0644 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u064a\u062a\u0645 \u062a\u0642\u062f\u064a\u0645 \u0627\u0644\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0627\u0644\u0623\u0628\u0633\u0637\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u062e\u0635\u0627\u0626\u0635 \u0639\u0627\u0645\u0644 \u0627\u0644\u062a\u0643\u0627\u0645\u0644. \u064a\u0634\u0645\u0644 \u0630\u0644\u0643 \u0627\u0644\u062a\u0643\u0627\u0645\u0644\u0627\u062a \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f\u060c \u0648\u0627\u0644\u0623\u0633\u064a\u0629\u060c \u0648\u0627\u0644\u0647\u0627\u064a\u0628\u0631 \u0628\u0648\u0644\u064a\u0629\u060c \u0648\u0627\u0644\u0645\u062b\u0644\u062b\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629. \u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u062a\u0639\u0644\u0645:\u0628\u0646\u0647\u0627\u064a\u0629 \u0647\u0630\u0647 \u0627\u0644\u062d\u0635\u0629\u060c \u0633\u064a\u0643\u0648\u0646 \u0627\u0644\u0637\u0627\u0644\u0628 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0641\u0647\u0645 \u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u062a\u0643\u0627\u0645\u0644 \u063a\u064a\u0631 \u0627\u0644\u0645\u062d\u062f\u062f \u0643\u0639\u0645\u0644\u064a\u0629 \u0639\u0643\u0633\u064a\u0629 \u0644\u0644\u0627\u0634\u062a\u0642\u0627\u0642. \u062d\u0633\u0627\u0628 \u062a\u0643\u0627\u0645\u0644 \u0643\u062b\u064a\u0631\u0627\u062a \u0627\u0644\u062d\u062f\u0648\u062f \u0648\u0627\u0644\u062a\u0639\u0627\u0628\u064a\u0631 \u0627\u0644\u062a\u064a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":32629,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":4,"footnotes":""},"categories":[1139,565],"tags":[],"class_list":["post-32674","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-1139","category-565"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ 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