{"save":1,"level":1,"time":"90","total":34,"point":5,"segment":[{"id":"3488","test_id":"474","question":"<p>Nguy&ecirc;n h&agrave;m c\u1ee7a&nbsp;h&agrave;m s\u1ed1&nbsp; <span class=\"math-tex\">$f(x)=e^x$<\/span>&nbsp;l&agrave;:<\/p>","options":["A.&nbsp;<span class=\"math-tex\">${e^{x+1} \\over {x+1} }+C$<\/span>","B.&nbsp;<span class=\"math-tex\">$e^x + C$<\/span>","C.&nbsp;<span class=\"math-tex\">${e^x \\over x }+C $<\/span>","D.&nbsp;<span class=\"math-tex\">$x.e^{x-1} + C$<\/span>"],"correct":"2","answer":"<p>\u0110&aacute;p &aacute;n \u0111&uacute;ng l&agrave; <strong><span style=\"color:#16a085;\">B.&nbsp;&nbsp;<span class=\"math-tex\">$e^x + C$<\/span>.<\/span><\/strong><\/p><p><span class=\"math-tex\">$\\int e^xdx=e^x+C$<\/span>.<\/p>","type":"choose","user_id":"119","test":"2","date":"2025-04-15 11:31:51"},{"id":"3489","test_id":"474","question":"<p>Cho h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y = f(x)$<\/span>&nbsp;li&ecirc;n t\u1ee5c, nh\u1eadn gi&aacute; tr\u1ecb t\u01b0\u01a1ng \u0111\u01b0\u01a1ng tr&ecirc;n \u0111o\u1ea1n&nbsp;<span class=\"math-tex\">$[ a;b ]$<\/span>. X&eacute;t h&igrave;nh ph\u1eb3ng (H) gi\u1edbi h\u1ea1n b\u1edfi \u0111\u1ed3 th\u1ecb h&agrave;m s\u1ed1&nbsp;<span class=\"math-tex\">$y = f(x)$<\/span>, tr\u1ee5c ho&agrave;nh v&agrave; hai \u0111\u01b0\u1eddng th\u1eb3ng&nbsp;<span class=\"math-tex\">$x = a, x = b$<\/span>. Kh\u1ed1i tr&ograve;n xoay \u0111\u01b0\u1ee3c t\u1ea1o th&agrave;nh khi quay h&igrave;nh ph\u1eb3ng (H) quanh tr\u1ee5c&nbsp;<span class=\"math-tex\">$Ox$<\/span>&nbsp;c&oacute; th\u1ec3 t&iacute;ch l&agrave;:&nbsp;<\/p>","options":["<strong>A<\/strong>.<i>&nbsp;<span class=\"math-tex\">$V = \\pi\\int_a^b|f(x)|dx$<\/span><\/i>","<b>B.<i>&nbsp;<span class=\"math-tex\">$V = \\pi^2\\int_a^bf(x)dx$<\/span><\/i><\/b>","<strong>C.&nbsp;<span class=\"math-tex\">$V = \\pi^2\\int_a^b[f(x)]^2dx$<\/span><\/strong>","<strong>D.<i>&nbsp;<span class=\"math-tex\">$V = \\pi\\int_a^b[f(x)]^2dx$<\/span><\/i><\/strong>"],"correct":"4","answer":"<p>\u0110&aacute;p &aacute;n \u0111&uacute;ng l&agrave;:<strong>&nbsp;<span style=\"color:#16a085;\">D.&nbsp;<i>&nbsp;<span class=\"math-tex\">$V = \\pi\\int_a^b[f(x)]^2dx$<\/span>.<\/i><\/span><\/strong><\/p><p>C&ocirc;ng th\u1ee9c t&iacute;nh th\u1ec3 t&iacute;ch kh\u1ed1i tr&ograve;n xoay \u0111\u01b0\u1ee3c t\u1ea1o th&agrave;nh khi quay h&igrave;nh ph\u1eb3ng (H) quanh tr\u1ee5c&nbsp;<span class=\"math-tex\">$Ox$<\/span>&nbsp; l&agrave;<\/p><p><strong><i><span class=\"math-tex\">$V = \\pi\\int_a^b[f(x)]^2dx$<\/span><\/i><\/strong><\/p>","type":"choose","user_id":"119","test":"2","date":"2025-04-15 11:32:51"}]}