Toán lớp 12 - Đề kiểm tra 45 phút - Toán lớp 12 - Tháng 12 - Số 2
{"save":1,"level":1,"time":"45","total":20,"point":5,"segment":[{"id":"408","test_id":"249","question":"<p>Tính <span class=\"math-tex\">$I=\\int\\limits_{0}^{1}{{{\\text{e}}^{3x}}.\\text{d}x}$<\/span><\/p>","options":["<span class=\"math-tex\">$I={{\\text{e}}^{3}}-1$<\/span>","<span class=\"math-tex\">$I=\\text{e}-1$<\/span>","<span class=\"math-tex\">$\\frac{{{\\text{e}}^{3}}-1}{3}$<\/span>","<span class=\"math-tex\">$I={{\\text{e}}^{3}}+\\frac{1}{2}$<\/span>"],"correct":"3","answer":"<p><span class=\"math-tex\">$\u200b\u200b\u200b\u200b\u200b\u200b\u200bF(x)=\\int{{{e}^{3x}}}dx=\\frac{1}{3}{{e}^{3x}}+C$<\/span><br \/> <span class=\"math-tex\">$\u00a0I=F(1)-F(0)=\\frac{{{e}^{3}}-1}{3}$<\/span><\/p>","type":"choose","user_id":"108","test":"0","date":"2020-03-17 16:54:36"},{"id":"409","test_id":"249","question":"<p>H\u1ecd nguyên hàm c\u1ee7a hàm s\u1ed1 <span class=\"math-tex\">$f\\left( x \\right)=2x+\\sin 2x$<\/span> là<br \/> <\/p>","options":["<span class=\"math-tex\">${{x}^{2}}+2\\cos 2x+C$<\/span>","<span class=\"math-tex\">${{x}^{2}}+\\frac{1}{2}\\cos 2x+C$<\/span>","<span class=\"math-tex\">${{x}^{2}}-\\frac{1}{2}\\cos 2x+C$<\/span>","<span class=\"math-tex\">${{x}^{2}}-2\\cos 2x+C$<\/span>"],"correct":"3","answer":"<p><span class=\"math-tex\">$\\int{\\left( 2x+\\sin 2x \\right)}dx=\\int{2xdx+}\\int{\\sin 2xdx}$<\/span><br \/> <span class=\"math-tex\">$\u00a0=\\frac{2{{x}^{2}}}{2}-\\frac{1}{2}\\cos 2x+C={{x}^{2}}-\\frac{1}{2}\\cos 2x+C$<\/span><\/p>","type":"choose","user_id":"108","test":"0","date":"2020-03-17 16:57:22"}]}