18 câu trắc nghiệm: Tích phân có đáp án

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

B. $e^3-7e+\frac{1}{e+1}$

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

D. $e^3-7e^2-ln(1+e)$

A. ${\int }_a^{\frac{\pi }{a}-a}{\sin }^{2}xdx=1-{\int }_a^{\frac{\pi }{a}-a}co{s}^{2}xdx$

B. ${\int }_a^{\frac{\pi }{a}-a}{\sin }^{2}xdx={\int }_a^{\frac{\pi }{a}-a}co{s}^{2}xdx$

C. ${\int }_a^{\frac{\pi }{a}-a}{\sin }^{2}xdx>{\int }_a^{\frac{\pi }{a}-a}co{s}^{2}xdx$

D. Không so sánh được

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

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

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

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

A. I = 0

B. $I=a^2$

C. $I=-a^2$

D. $I=2a^2$

A. $I=\frac{1}{3}l{n}^{3}x+lnx$

B. $I=\frac{1}{3}l{n}^{3}2+l{n}^{2}2+2\ln 2+\frac{4}{3}$

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

D. $I=\frac{1}{3}l{n}^{3}2+l{n}^{2}2+2\ln 2+1$

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

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

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

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

A. $I={\int }_0^3\sqrt{u}du$

B. $I=\frac{2}{3}\sqrt{27}$

C. $I={\int }_0^2\sqrt{u}du$

D. $I=\frac{2}{3}{u}^{\frac{3}{2}}\left(\begin{array}{c}3\\ 0\end{array}\right)$

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. 9

B. 3

C. 81

D. 8

A. 3

B. 1

C. 2

D. 0

A. $I=3{\int }_3^4\frac{dt}{t^2\left(t-2\right)}$

B. $I={\int }_3^4\frac{dt}{t^2{\left(t-2\right)}^2}$

C. $I=3{\int }_3^4\frac{tdt}{t^2\left(t-2\right)}$

D. $I=3{\int }_3^5\frac{dt}{t^2\left(t-2\right)}$

A. $10+\sqrt{7}$

B. $\sqrt{7}+6$

C. 22

D.  Đáp án khác

A. $2\sqrt{2}-\frac{1}{3}$

B. $\frac{2\sqrt{2}}{3}-\frac{1}{3}$

C. $2\sqrt{2}-1$

D. $\sqrt{2}-\frac{1}{3}$

A. -2

B. 3

C. 8

D. 0

A. $I=\frac{1}{2}{\int }_0^1{e}^t\left(1-t\right)dt$

B. $I=2\left({\int }_0^1{e}^{t}dt+{\int }_0^{1}t{e}^{t}dt\right)$

C. $I=2{\int }_0^1{e}^t\left(1-t\right)dt$

D. $I=2\left({\int }_0^1{e}^{t}dt-{\int }_0^{1}t{e}^{t}dt\right)$

A. ${\int }_2^{4}f\left(t\right)dt=3$

B. ${\int }_2^{4}f\left(x\right)dx=-3$

C. ${\int }_2^{4}f\left(x\right)dx=3$

D. ${\int }_2^{4}f\left(x\right)dx=0$

A. Không xác định được

B. 1

C. 3

D. -1