{"common":{"save":0,"post_id":"8088","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5969","post_id":"8088","mon_id":"1159285","chapter_id":"1159380","question":"<p>G\u1ecdi D l&agrave; h&igrave;nh ph\u1eb3ng gi\u1edbi h\u1ea1n b\u1edfi c&aacute;c \u0111\u01b0\u1eddng&nbsp;<span class=\"math-tex\">$y=e^{3x}$<\/span>,&nbsp;<span class=\"math-tex\">$y=0$<\/span>,&nbsp;<span class=\"math-tex\">$x=0$<\/span>&nbsp;v&agrave;&nbsp;<span class=\"math-tex\">$x=1$<\/span>. Th\u1ec3 t&iacute;ch c\u1ee7a kh\u1ed1i tr&ograve;n xoay&nbsp;t\u1ea1o th&agrave;nh khi quay D quanh tr\u1ee5c Ox b\u1eb1ng:<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\pi\\displaystyle\\int\\limits_{0}^{1}e^{3x}dx$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\displaystyle\\int\\limits_{0}^{1}e^{6x}dx$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\pi\\displaystyle\\int\\limits_{0}^{1}e^{6x}dx$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\displaystyle\\int\\limits_{0}^{1}e^{3x}dx$<\/span>"],"correct":"3","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong>&nbsp;<span class=\"math-tex\">$\\pi\\displaystyle\\int\\limits_{0}^{1}e^{6x}dx$<\/span>.<\/span><\/p><p>Ta c&oacute; th\u1ec3 t&iacute;ch c\u1ee7a kh\u1ed1i tr&ograve;n xoay t\u1ea1o th&agrave;nh khi quay D&nbsp;quanh tr\u1ee5c Ox b\u1eb1ng:<\/p><p><span class=\"math-tex\">$V=\\pi\\displaystyle\\int\\limits_{0}^{1}(e^{3x})^2dx=\\pi\\displaystyle\\int\\limits_{0}^{1}e^{6x}dx$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-11-29 08:45:49","option_type":"math","len":0},{"id":"5970","post_id":"8088","mon_id":"1159285","chapter_id":"1159380","question":"<p>G\u1ecdi D l&agrave; h&igrave;nh ph\u1eb3ng gi\u1edbi h\u1ea1n b\u1edfi c&aacute;c \u0111\u01b0\u1eddng&nbsp;<span class=\"math-tex\">$y=e^{4x}$<\/span>,&nbsp;<span class=\"math-tex\">$y=0$<\/span>,&nbsp;<span class=\"math-tex\">$x=0$<\/span>&nbsp;v&agrave;&nbsp;<span class=\"math-tex\">$x=1$<\/span>. Th\u1ec3 t&iacute;ch c\u1ee7a kh\u1ed1i tr&ograve;n xoay&nbsp;t\u1ea1o th&agrave;nh khi quay D quanh tr\u1ee5c Ox b\u1eb1ng:<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\pi\\displaystyle\\int\\limits_{0}^{1}e^{4x}dx$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\pi\\displaystyle\\int\\limits_{0}^{1}e^{8x}dx$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\displaystyle\\int\\limits_{0}^{1}e^{8x}dx$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\displaystyle\\int\\limits_{0}^{1}e^{4x}dx$<\/span>"],"correct":"2","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong>&nbsp;<span class=\"math-tex\">$\\pi\\displaystyle\\int\\limits_{0}^{1}e^{8x}dx$<\/span>.<\/span><\/p><p>Ta c&oacute; th\u1ec3 t&iacute;ch c\u1ee7a kh\u1ed1i tr&ograve;n xoay t\u1ea1o th&agrave;nh khi quay D&nbsp;quanh tr\u1ee5c Ox b\u1eb1ng:<\/p><p><span class=\"math-tex\">$V=\\pi\\displaystyle\\int\\limits_{0}^{1}(e^{4x})^2dx=\\pi\\displaystyle\\int\\limits_{0}^{1}e^{8x}dx$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-11-29 08:46:47","option_type":"math","len":0},{"id":"5972","post_id":"8088","mon_id":"1159285","chapter_id":"1159380","question":"<p>Cho h&igrave;nh ph\u1eb3ng (H)&nbsp;gi\u1edbi h\u1ea1n b\u1edfi c&aacute;c \u0111\u01b0\u1eddng&nbsp;<span class=\"math-tex\">$y=x^2+3$<\/span>, y = 0, x = 0, x = 2. G\u1ecdi V&nbsp;l&agrave; th\u1ec3 t&iacute;ch c\u1ee7a kh\u1ed1i&nbsp;tr&ograve;n xoay \u0111\u01b0\u1ee3c t\u1ea1o th&agrave;nh khi quay (H)&nbsp;xung quanh tr\u1ee5c&nbsp;Ox . Khi \u0111&oacute;&nbsp;<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$V=\\displaystyle\\int\\limits_{0}^{2}(x^2+3)dx$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$V=\\pi\\displaystyle\\int\\limits_{0}^{2}(x^2+3)dx$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$V=\\displaystyle\\int\\limits_{0}^{2}(x^2+3)^2dx$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$V=\\pi\\displaystyle\\int\\limits_{0}^{2}(x^2+3)^2dx$<\/span>"],"correct":"4","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>D.<\/strong>&nbsp;<span class=\"math-tex\">$V=\\pi\\displaystyle\\int\\limits_{0}^{2}(x^2+3)^2dx$<\/span>.<\/span><\/p><p>Th\u1ec3 t&iacute;ch c\u1ee7a kh\u1ed1i tr&ograve;n xoay \u0111\u01b0\u1ee3c t\u1ea1o th&agrave;nh khi quay (H)&nbsp;xung quanh tr\u1ee5c&nbsp;Ox l&agrave;&nbsp;<br \/>V =&nbsp;<span class=\"math-tex\">$\\pi\\displaystyle\\int\\limits_{0}^{2}(x^2+3)^2dx$<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-11-29 08:52:49","option_type":"math","len":0}]}