{"id":841,"date":"2014-01-05T01:05:56","date_gmt":"2014-01-04T17:05:56","guid":{"rendered":"http:\/\/soniuch.net\/?page_id=841"},"modified":"2014-01-05T01:05:56","modified_gmt":"2014-01-04T17:05:56","slug":"%d0%b8%d0%bd%d1%82%d0%b5%d0%b3%d1%80%d0%b0%d0%bb-%d1%82%d0%be%d0%be%d0%bb%d0%be%d0%bb","status":"publish","type":"page","link":"https:\/\/soniuch.net\/?page_id=841","title":{"rendered":"\u0418\u043d\u0442\u0435\u0433\u0440\u0430\u043b \u0442\u043e\u043e\u043b\u043e\u043b"},"content":{"rendered":"

\u0418\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u044b\u043d \u0447\u0430\u043d\u0430\u0440\u0443\u0443\u0434:<\/strong><\/span><\/p>\n

$$\\int dx = x + c$$<\/p>\n

$$\\int k f(x)dx = k \\int f(x) dx$$<\/p>\n

$$\\int(f(x) + \\varphi(x) + \\xi(x) + \\dots)dx = \\int f(x)dx + \\int \\varphi(x)dx + \\int \\xi(x) dx + \\dots$$<\/p>\n

$$\\int udv = uv – \\int vdu$$<\/p>\n

$$\\int x^n dx = \\frac{x^{n+1}}{n+1}+c \\hspace{1cm} (n \\ne -1)$$<\/p>\n

$$\\int a^x dx = \\frac{a^x}{\\ln a}+ c \\hspace{1cm} (0<a \\ne 1)$$<\/p>\n

$$\\int \\frac{dx}{x}=\\ln |x| + c$$<\/p>\n

$$\\int e^x dx = e^x + c$$<\/p>\n

\u0422\u0440\u0438\u0433\u043e\u043d\u043e\u043c\u0435\u0442\u0440\u0438\u0439\u043d \u0444\u0443\u043d\u043a\u0446\u0438\u0439\u043d \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u0443\u0443\u0434:<\/strong><\/span><\/p>\n

$$\\int \\sin x dx = – \\cos x + c$$<\/p>\n

$$\\int \\cos x dx = \\sin x + c$$<\/p>\n

$$\\int \\frac{dx}{\\sin^2 x} = – \\textrm{ctg}x + c$$<\/p>\n

$$\\int \\frac{dx}{\\cos^2 x} = \\textrm{tg}x + c$$<\/p>\n

$$\\int \\frac{dx}{\\sqrt{a^2 – x^2}} = \\arcsin \\frac{x}{a} + c$$<\/p>\n

$$\\int \\frac{dx}{1 + x^2} = \\textrm{arctg} x + c$$<\/p>\n

$$\\int \\frac{dx}{a^2 + x^2} = \\frac{1}{a} \\textrm{arctg} \\frac{x}{a} + c$$<\/p>\n

$$\\int \\frac{dx}{x^2 – a^2} = \\frac{1}{2a} \\ln \\big| \\frac{x-a}{x+a}\\big| +c \\hspace{1cm} (a \\ne 0)$$<\/p>\n

$$\\int \\frac{dx}{x^2 – 1} = \\frac{1}{2} \\ln \\big| \\frac{x-1}{x+1} \\big| + c$$<\/p>\n

$$\\int \\frac{dx}{x^2 + a^2} = \\frac{1}{a} \\textrm{arctg} \\frac{x}{a} + c $$<\/p>\n

$$ \\int \\frac{dx}{x^2 + 1} = \\textrm{arctg} x + c$$<\/p>\n

$$\\int \\frac{dx}{\\sqrt{x^2 + k}} = \\ln \\big| x + \\sqrt{x^2 + k} \\big| + c$$<\/p>\n

 <\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

\u0418\u043d\u0442\u0435\u0433\u0440\u0430\u043b\u044b\u043d \u0447\u0430\u043d\u0430\u0440\u0443\u0443\u0434: $$\\int dx = x + c$$ $$\\int k f(x)dx = k \\int f(x) dx$$ $$\\int(f(x) + \\varphi(x) + \\xi(x) + \\dots)dx = \\int f(x)dx + \\int \\varphi(x)dx + \\int \\xi(x) dx + \\dots$$ $$\\int udv = uv – \\int vdu$$ $$\\int x^n dx = \\frac{x^{n+1}}{n+1}+c \\hspace{1cm} (n \\ne -1)$$ $$\\int a^x dx =… Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":713,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-841","page","type-page","status-publish","hentry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/pages\/841","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=841"}],"version-history":[{"count":0,"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/pages\/841\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/pages\/713"}],"wp:attachment":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=841"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}