Trắc nghiệm Toán 12 Chương 3 Bài 2 Tích phân

A.  I=2

B. I=-1

C. I=6

D. I=8

A. \(\int\limits_a^b {f\left( x \right)dx} = -2\)

B.  \(\int\limits_a^b {f\left( x \right)dx} = 7\)

C.  \(\int\limits_a^b {f\left( x \right)dx} = 0\)

D.  \(\int\limits_a^b {f\left( x \right)dx} = 3\)

A. \(\left\{ 5 \right\}\)

B. \(\left\{ 5;-1 \right\}\)

C. \(\left\{ 4\right\}\)

D. \(\left\{ 4;-1 \right\}\)

A. \(I = \frac{1}{2}\int\limits_0^{\frac{1}{e}} {\left( {\frac{1}{{t - 1}} - \frac{1}{{t + 1}}} \right)dt}\)

B. \(I = \frac{1}{2}\ln \left( {\frac{{e - 1}}{{e + 1}}} \right)\)

C. \(I =\int\limits_0^{\frac{1}{e}} {\frac{1}{{1 - {t^2}}}dt}\)

D. \(I =\int\limits_0^{\frac{1}{e}} {\frac{1}{{(t - 1)(t + 1)}}dt}.\)

A.  a+b=5

B.  a+b=2

C.  a+b=1

D.  a+b=7

A. \({e^3} - \frac{7}{2}{e^2} + \ln \left( {1 + e} \right)\)

B. \({e^2} - 7e + \frac{1}{{e + 1}}\)

C. \({e^3} - \frac{7}{2}{e^2} - \ln \left( {1 + e} \right)\)

D. \({e^3} - 7{e^2} - \ln \left( {1 + e} \right)\)

A. \(\frac{{243}}{{20}} - \frac{3}{4}{\left( {a - 3} \right)^4} + \frac{1}{5}{\left( {a - 3} \right)^5}\)

B. \(\frac{{243}}{{20}} + \frac{3}{4}{\left( {a - 3} \right)^4} + \frac{1}{5}{\left( {a - 3} \right)^5}\)

C. \(\frac{{243}}{{20}} - \frac{3}{4}{\left( {a - 3} \right)^4} - \frac{1}{5}{\left( {a - 3} \right)^5}\)

D. \(\frac{{243}}{{20}} - \frac{3}{4}{\left( {a - 3} \right)^4} - \frac{2}{5}{\left( {a - 3} \right)^5}\)

A. \(I = \frac{1}{3}{\ln ^3}x + \ln x\)

B. \(I = \frac{1}{3}{\ln ^3}2 + {\ln ^2}2 +2\ln 2+ \frac{4}{3}\)

C. \(I = {\left( {{{\ln }^2}2 + 1} \right)^3}\)

D. \(I = \frac{1}{3}{\ln ^3}2 + {\ln ^2}2 - 2\ln 2 + 1\)

A. \(I = \left( {1 - \frac{\pi }{2}} \right){\rm{cos}}a + \sin a\)

B. \(I = \left( {1 - \frac{\pi }{2}} \right){\rm{cos}}a - \sin a\)

C. \(I = \left( {\frac{\pi }{2} - 1} \right){\rm{cos}}a + \sin a\)

D. \(I = \left( {\frac{\pi }{2} + 1} \right){\rm{cos}}a - \sin a\)

A. 6

B. 5

C. 4

D. 3

A. \(\frac{3}{2}\)

B. \(\frac{-3}{2}\)

C. \(\frac{5}{2}\)

D. \(\frac{-5}{2}\)

A. 3

B. 1

C. 2

D. 0

A. \(15 + \sqrt 7 \)

B. 22

C. \(\sqrt 7  + 6\)

D. 6

A. \(\frac{1}{2}\int\limits_0^1 {{e^t}\left( {1 - t} \right)dt} \)

B. \(2\left[ {\int\limits_0^1 {{e^t}dt}  + \int\limits_0^1 {t{e^t}dt} } \right]\)

C. \(2\int\limits_0^1 {{e^t}\left( {1 - t} \right)dt} \)

D. \(2\left[ {\int\limits_0^1 {{e^t}dt}  - \int\limits_0^1 {t{e^t}dt} } \right]\)

A. Không xác định được

B. 1

C. 3

D. -1