Trắc nghiệm Tích phân có đáp án (P1) (Nhận biết)

A. 1

B. -1

C. 0

D. 2

A. $e^{-2}$

B. $e^3-e$

C. $e-e^3$

D. $e^2$

A. 3ln3

B. $\frac{1}{3}3\ln 3$

C. $\ln \frac{5}{2}$

D. $\ln \frac{2}{5}$

A. ${\int }_a^{b}f\text{'}\left(x\right)e^{f\left(x\right)}dx=0$

B. ${\int }_a^{b}f\text{'}\left(x\right)e^{f\left(x\right)}dx=1$

C. ${\int }_a^{b}f\text{'}\left(x\right)e^{f\left(x\right)}dx=-1$

D. ${\int }_a^{b}f\text{'}\left(x\right)e^{f\left(x\right)}dx=2$

A. ${\int }_a^{b}f\left(u\left(x\right)\right)u\text{'}\left(x\right)dx={\int }_{u\left(a\right)}^{u\left(b\right)}f\left(u\right)du$

B. ${\int }_a^{b}f\left(u\left(x\right)\right)u\text{'}\left(x\right)dx={\int }_a^{b}f\left(u\right)du$

C. ${\int }_{u\left(a\right)}^{u\left(b\right)}f\left(u\left(x\right)\right)u\text{'}\left(x\right)dx={\int }_a^{b}f\left(u\right)du$

D. ${\int }_a^{b}f\left(u\left(x\right)\right)u\text{'}\left(x\right)dx={\int }_a^{b}f\left(u\right)du$

A. $I=-\frac{1}{2}$

B. $I=-\frac{1}{4}$

C. $I=\frac{1}{4}$

D. $I=2$

A. $I=f\left(x\right).g\text{'}\left(x\right){|}_a^b-{\int }_a^{b}f\text{'}\left(x\right).g\left(x\right)dx$

B. $I=f\left(x\right).g\left(x\right){|}_a^b-{\int }_a^{b}f\left(x\right).g\left(x\right)dx$

C. $I=f\left(x\right).g\left(x\right){|}_a^b-{\int }_a^{b}f\text{'}\left(x\right).g\left(x\right)dx$

D. $I=f\left(x\right).g\text{'}\left(x\right){|}_a^b-{\int }_a^{b}f\left(x\right).g\text{'}\left(x\right)dx$

A. $\left(\begin{array}{c}u=x\\ dv=x\cos xdx\end{array}\right)$

B. $\left(\begin{array}{c}u=x^2\\ dv=\cos xdx\end{array}\right)$

C. $\left(\begin{array}{c}u=\cos x\\ dv=x^{2}dx\end{array}\right)$

D. $\left(\begin{array}{c}u=x^2\cos x\\ dv=dx\end{array}\right)$

A. I = 2

B. I = 1

C. I = 3

D. I = -1

A. $I=x^2\sin x{|}_0^{\pi }-{\int }_0^{\pi }x\sin xdx$

B. $I=x^2\sin x{|}_0^{\pi }+2{\int }_0^{\pi }x\sin xdx$

C. $I=-x^2\sin x{|}_0^{\pi }-2{\int }_0^{\pi }x\sin xdx$

D. $I=x^2\sin x{|}_0^{\pi }-2{\int }_0^{\pi }x\sin xdx$

A. $\frac{1}{2}$

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

C . 1

D. -1

A. $\underset{a}{\overset{b}{\int }}f\left(x\right)dx=F\left(b-a\right)$

B. $\underset{a}{\overset{b}{\int }}f\left(x\right)dx=F\left(b\right)-F\left(a\right)+C$

C. $\underset{a}{\overset{b}{\int }}f\left(x\right)dx=F\left(b\right)+F\left(a\right)$

D. $\underset{a}{\overset{b}{\int }}f\left(x\right)dx=F\left(b\right)-F\left(a\right)$

A. $I=\underset{0}{\overset{\frac{1}{2}}{\int }}{t}^{n}dt$

B. $I=\underset{0}{\overset{1}{\int }}{t}^{n}dt$

C. $I=\underset{\frac{1}{2}}{\overset{0}{\int }}{t}^{n}dt$

D. $I=\underset{0}{\overset{\frac{1}{2}}{\int }}{t}^{n+1}dt$

A. $I={\int }_1^0\left(1-u\right)du$

B. $I={\int }_0^1\left(1-u\right)e^{-u}du$

C. $I={\int }_1^0\left(1-u\right)e^{-u}du$

D. $I={\int }_1^0\left(1-u\right)e^{2u}du$