Trắc nghiệm Ứng dụng của tích phân có đáp án (P1) (Nhận biết)

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

B. $S={\int }_0^{b}f\left(x\right)dx$

C. $S={\int }_b^a\left(f\left(x\right)\right)dx$

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

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

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

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

D. $S={\int }_b^a\left(f\left(x\right)\right)dx$

A. $S={\int }_b^a\left(f\left(x\right)\right)dx$

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

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

D. $S={\int }_b^{a}f\left(x\right)dx$

A. $S={\int }_{-3}^{-1}\left(x^2-1\right)dx$

B. $S={\int }_{-1}^{-3}\left(x^2-1\right)dx$

C. $S={\int }_{-3}^0\left(x^2-1\right)dx$

D. $S={\int }_{-3}^{-1}\left(1-x^2\right)dx$

A. $S={\int }_1^{3}f\left(x\right)dx$

B. $S={\int }_1^3\left(f\left(x\right)\right)dx$

C. $S={\int }_3^{1}f\left(x\right)dx$

D. $S={\int }_3^1\left(f\left(x\right)\right)dx$

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

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

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

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

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

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

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

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

A. $S={\int }_0^e\left(e^x+x\right)dx$

B. $S={\int }_0^e\left(e^x-x\right)dx$

C. $S={\int }_e^0\left(e^x-x\right)dx$

D. $S={\int }_e^0\left(e^x+x\right)dx$

A. $S={\int }_0^{\pi }\cos xdx$

B. $S={\int }_0^{\pi }{\cos }^{2}xdx$

C. $S={\int }_0^{\pi }\left(\cos x\right)dx$

D. $S=\pi {\int }_0^{\pi }\left(\cos x\right)dx$

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

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

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

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

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

A. $V={\pi }^2{\int }_1^3{\left(f\left(x\right)\right)}^2\mathrm{dx}$

B. $V={\int }_1^3{\left(f\left(x\right)\right)}^2\mathrm{dx}$

C. $V=\frac{1}{3}{\int }_1^3{\left(f\left(x\right)\right)}^2\mathrm{dx}$

D. $V=\pi {\int }_1^3{\left(f\left(x\right)\right)}^2\mathrm{dx}$