{"common":{"save":0,"post_id":"7850","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5848","post_id":"7850","mon_id":"1159285","chapter_id":"1159380","question":"<p>T&igrave;m&nbsp;<span class=\"math-tex\">$\\int x(2x-3)^2dx$<\/span>.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$x^4-3x^3+\\dfrac{9}{2}x^2+C$<\/span>.","<strong>B.<\/strong> <span class=\"math-tex\">$x^4+2x^3+\\dfrac{9}{2}x^2+C$<\/span>.","<strong>C.<\/strong> <span class=\"math-tex\">$4x^4-4x^3+\\dfrac{9}{2}x^2+C$<\/span>.","<strong>D.<\/strong> <span class=\"math-tex\">$x^4-4x^3+\\dfrac{9}{2}x^2+C$<\/span>."],"correct":"4","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>D.<\/strong>&nbsp;<span class=\"math-tex\">$x^4-4x^3+\\dfrac{9}{2}x^2+C$<\/span>.<\/span><\/p><p><span class=\"math-tex\">$\\int x(2x-3)^2dx=\\int(4x^3-12x^2+9x)dx=$<\/span>&nbsp;<span class=\"math-tex\">$x^4-4x^3+\\dfrac{9}{2}x^2+C$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-10-18 03:06:58","option_type":"math","len":0},{"id":"5849","post_id":"7850","mon_id":"1159285","chapter_id":"1159380","question":"<p>T&igrave;m&nbsp;<span class=\"math-tex\">$\\displaystyle\\int\\dfrac{x^2+x-2}{x}dx$<\/span>.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{x^2}{2}+x-2\\ln|x|+C$<\/span>.","<strong>B.<\/strong> <span class=\"math-tex\">$\\bigg(\\dfrac{x^2}{2}+\\dfrac{x^3}{3}\\bigg)\\ln|x|+C$<\/span>.","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{x^2+2}{x^2}+C$<\/span>.","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{x^2}{2}-2\\ln|x|+C$<\/span>."],"correct":"1","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{x^2}{2}+x-2\\ln|x|+C$<\/span>.<\/span><\/p><p><span class=\"math-tex\">$\\displaystyle\\int\\dfrac{x^2+x-2}{x}dx=\\displaystyle\\int\\bigg(x+1-\\dfrac{2}{x}\\bigg)dx=$<\/span>&nbsp;&nbsp;<span class=\"math-tex\">$\\dfrac{x^2}{2}+x-2\\ln|x|+C$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-10-19 00:33:30","option_type":"math","len":0},{"id":"5850","post_id":"7850","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\">$f(x)=\\dfrac{5+2x^4}{x^2}$<\/span>.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{2x^3}{3}-\\dfrac{5}{x}+C$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$2x^3-\\dfrac{5}{x}+C$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{2x^3}{3}+\\dfrac{5}{x}+C$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{2x^3}{3}+5\\ln x^2+C$<\/span>"],"correct":"1","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{2x^3}{3}-\\dfrac{5}{x}+C$<\/span>.<\/span><\/p><p><span class=\"math-tex\">$\\displaystyle\\int\\bigg(\\dfrac{5+2x^4}{x^2}\\bigg)dx=\\displaystyle\\int\\bigg(\\dfrac{5}{x^2}+2x^2\\bigg)dx=-\\dfrac{5}{x}+\\dfrac{2x^3}{3}+C$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-10-19 00:55:59","option_type":"math","len":0}]}