Trắc nghiệm Chương 3: Nguyên hàm - Tích phân và Ứng dụng có đáp án (P1) (Nhận biết)

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

A. $V=\pi {\int }_a^b\left(f\left(y\right)\right)\mathrm{dy}$

B. $V={\int }_a^b\left(f\left(x\right)\right)dx$

C. $V={\pi }^2{\int }_a^b{f}^2\left(x\right)dx$

D. $V=\pi {\int }_a^b{f}^2\left(y\right)\mathrm{dy}$

A. 19

B. $\frac{2186}{7}\pi$

C. 20

D. 18

A. $V=\pi {\int }_a^b\left(f\left(x\right)\right)\mathrm{dx}$

B. $V={\int }_a^b\left(f\left(x\right)\right)\mathrm{dx}$

C. $V=\pi {\int }_a^b{f}^2\left(x\right)\mathrm{dx}$

D. $V={\pi }^2{\int }_a^b{f}^2\left(x\right)\mathrm{dx}$

A. $V={\pi }^2{\int }_0^1{x}^3\mathrm{dx}$

B. $V=\pi {\int }_0^1{x}^3\mathrm{dx}$

C. $V=\pi {\int }_0^1{x}^6\mathrm{dx}$

D. $V=\pi {\int }_0^1{x}^5\mathrm{dx}$

A. $V=\pi {\int }_0^2{2}^{x+1}\mathrm{dx}$ x

B. $V={\int }_0^2{2}^{x+1}\mathrm{dx}$

C. $V={\int }_0^2{4}^x\mathrm{dx}$

D. $V=\pi {\int }_0^2{4}^x\mathrm{dx}$

A. ${\int }_a^{b}f\left(x\right)dx+{\int }_b^{c}f\left(x\right)dx={\int }_a^{c}f\left(x\right)dx$

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

C. ${\int }_a^{b}f\left(k.x\right)dx=k{\int }_a^{b}f\left(x\right)dx$

D. ${\int }_a^{b}k.f\left(x\right)dx=k{\int }_a^{b}f\left(x\right)dx$

A. $\int f\left(x\right)dx=\frac{2^x}{\ln 2}+\sin x+x+C$

B. $\int f\left(x\right)dx=\frac{2^x}{\ln 2}-\sin x+x+C$

C. $\int f\left(x\right)dx=2^x\ln 2+\sin x+x+C$

D. $\int f\left(x\right)dx=2^x.\ln 2-\sin x+x+C$

A. 4

B. 6

C. 5

D. 3

A. $f\left(x\right)=\frac{x^6}{6}+5.\frac{x^4}{4}-\frac{x^2}{2}+2x+C$

B. $f\left(x\right)=x^4+5x^2-1$

C. $f\left(x\right)=5x^4+15x^2+1$

D. $f\left(x\right)=5x^4+15x^2-1$

A. $V=\underset{a}{\overset{b}{\int }}{f}^2\left(x\right)dx$

B. $V=\pi \underset{a}{\overset{b}{\int }}{f}^2\left(x\right)dx$

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

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

A. $V={\int }_0^1{x}^2{e}^{2x}dx$

B. $V=\pi {\int }_0^{1}x{e}^{x}dx$

C. $V=\pi {\int }_0^1{x}^2{e}^{2x}dx$

D. $V=\pi {\int }_0^1{x}^2{e}^{x}dx$

A. 29

B. 19

C. 5

D. -5