{"common":{"save":0,"post_id":"7607","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5816","post_id":"7607","mon_id":"1159285","chapter_id":"1159380","question":"<p>T&igrave;m nguy&ecirc;n h&agrave;m c\u1ee7a h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$f(x)=7^x$<\/span>.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{7^x}{\\ln7}+C$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$7^x+C$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{7^{x+1}}{x+1}+C$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$7^x\\ln7+C$<\/span>"],"correct":"1","level":"2","hint":"<p><span class=\"math-tex\">$\\int a^xdx=\\dfrac{a^x}{\\ln a}+C$<\/span>&nbsp;v\u1edbi&nbsp;<span class=\"math-tex\">$0&lt; a\\ne1$<\/span>.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{7^x}{\\ln7}+C$<\/span>.<\/span><\/p><p><span class=\"math-tex\">$\\int7^xdx=$<\/span>&nbsp;<span class=\"math-tex\">$\\dfrac{7^x}{\\ln7}+C$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-10-18 01:58:55","option_type":"math","len":0},{"id":"5818","post_id":"7607","mon_id":"1159285","chapter_id":"1159380","question":"<p>T&igrave;m h\u1ecd nguy&ecirc;n h&agrave;m c\u1ee7a h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$f(x)=x^2-3^x+\\dfrac{1}{x}$<\/span>.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{x^3}{3}-\\dfrac{3^x}{\\ln3}-\\dfrac{1}{x^2}+C$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{x^3}{3}-3^x+\\dfrac{1}{x^2}+C$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{x^3}{3}-\\dfrac{3^x}{\\ln3}+\\ln|x|+C$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{x^3}{3}-\\dfrac{3^x}{\\ln3}-\\ln|x|+C$<\/span>"],"correct":"3","level":"2","hint":"<p><span class=\"math-tex\">$\\int[f(x)+g(x)]dx=\\int f(x)dx+\\int g(x)dx$<\/span>.<\/p><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><p><span class=\"math-tex\">$\\int a^xdx=\\dfrac{a^x}{\\ln a}+C$<\/span>&nbsp;v\u1edbi&nbsp;<span class=\"math-tex\">$0&lt; a\\ne1$<\/span>.<\/p><p><span class=\"math-tex\">$\\displaystyle\\int\\bigg(\\dfrac{1}{x}\\bigg)dx=\\ln|x|+C$<\/span>&nbsp;v\u1edbi&nbsp;<span class=\"math-tex\">$x\\ne0$<\/span>.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{x^3}{3}-\\dfrac{3^x}{\\ln3}+\\ln|x|+C$<\/span>.<\/span><\/p><p><span class=\"math-tex\">$\\displaystyle\\int\\bigg(x^2-3^x+\\dfrac{1}{x}\\bigg)dx=$<\/span>&nbsp;&nbsp;<span class=\"math-tex\">$\\dfrac{x^3}{3}-\\dfrac{3^x}{\\ln3}+\\ln|x|+C$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-10-18 02:03:46","option_type":"math","len":0},{"id":"5822","post_id":"7607","mon_id":"1159285","chapter_id":"1159380","question":"<p>H\u1ecd nguy&ecirc;n h&agrave;m c\u1ee7a h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$f(x)=3x^2+\\sin x$<\/span>&nbsp;l&agrave;<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$x^2+\\cos x+C$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$x^3-\\cos x+C$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$x^3+\\cos x+C$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$6x-\\cos x+C$<\/span>"],"correct":"2","level":"2","hint":"<p><span class=\"math-tex\">$\\int[f(x)+g(x)]dx=\\int f(x)dx+\\int g(x)dx$<\/span>.<\/p><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><p><span class=\"math-tex\">$\\int\\sin xdx=-\\cos x+C$<\/span>.<\/p>","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong>&nbsp;<span class=\"math-tex\">$x^3-\\cos x+C$<\/span>.<\/span><\/p><p><span class=\"math-tex\">$\\int(3x^2+\\sin x)dx=$<\/span>&nbsp;&nbsp;<span class=\"math-tex\">$x^3-\\cos x+C$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-10-18 02:08:21","option_type":"math","len":0}]}