{"common":{"save":0,"post_id":"7606","level":1,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5799","post_id":"7606","mon_id":"1159285","chapter_id":"1159380","question":"<p>H&agrave;m s\u1ed1 F(x) l&agrave; m\u1ed9t nguy&ecirc;n h&agrave;m c\u1ee7a h&agrave;m s\u1ed1 f(x) tr&ecirc;n kho\u1ea3ng K n\u1ebfu<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$F^\\prime(x)=-f(x),\\forall x\\in K$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$f^\\prime(x)=F(x),\\forall x\\in K$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$F^\\prime(x)=f(x),\\forall x\\in K$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$f^\\prime(x)=-F(x),\\forall x\\in K$<\/span>"],"correct":"3","level":"1","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong>&nbsp;<span class=\"math-tex\">$F^\\prime(x)=f(x),\\forall x\\in K$<\/span>.<\/span><\/p><p>Theo \u0111\u1ecbnh ngh\u0129a th&igrave; h&agrave;m s\u1ed1 F(x) l&agrave; m\u1ed9t nguy&ecirc;n h&agrave;m c\u1ee7a h&agrave;m s\u1ed1 f(x) tr&ecirc;n kho\u1ea3ng K n\u1ebfu<br \/>F&#39;(x) = f(x), v\u1edbi m\u1ecdi x&nbsp;&isin; K.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-10-17 03:10:42","option_type":"math","len":0},{"id":"5801","post_id":"7606","mon_id":"1159285","chapter_id":"1159380","question":"<p><span class=\"math-tex\">$\\int x^2dx$<\/span>&nbsp;b\u1eb1ng&nbsp;<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$2x+C$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{3}x^3+C$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$x^3+C$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$3x^3+C$<\/span>"],"correct":"2","level":"1","hint":"<p><span class=\"math-tex\">$\\int x^ndx=\\dfrac{x^{n+1}}{n+1}+C, n\\ne-1$<\/span>.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{1}{3}x^3+C$<\/span>.<\/span><\/p><p><span class=\"math-tex\">$\\int x^2dx$<\/span>&nbsp;=&nbsp;<span style=\"color:#16a085;\"><span class=\"math-tex\">$\\dfrac{1}{3}x^3+C$<\/span>.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-10-17 03:15:11","option_type":"math","len":0},{"id":"5804","post_id":"7606","mon_id":"1159285","chapter_id":"1159380","question":"<p><span class=\"math-tex\">$\\int4x^3dx$<\/span>&nbsp;b\u1eb1ng&nbsp;<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$4x^4+C$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{4}x^4+C$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$12x^3+C$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$x^4+C$<\/span>"],"correct":"4","level":"1","hint":"<p><span class=\"math-tex\">$\\int f(x)dx=k\\int f(x)dx$<\/span>&nbsp;v\u1edbi k l&agrave; h\u1eb1ng s\u1ed1 kh&aacute;c 0.<\/p><p><span class=\"math-tex\">$\\int x^ndx=\\dfrac{x^{n+1}}{n+1}+C, n\\ne-1$<\/span><\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>D.<\/strong>&nbsp;<span class=\"math-tex\">$x^4+C$<\/span>.<\/span><\/p><p><span class=\"math-tex\">$\\int4x^3dx$<\/span>&nbsp;=&nbsp;<span style=\"color:#16a085;\"><span class=\"math-tex\">$x^4+C$<\/span>.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-10-17 03:17:43","option_type":"math","len":0}]}