Ứng dụng tích phân vào tính diện tích

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

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

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

B. $S={\int }_{-1}^0\left(3x-x^3\right)dx+{\int }_0^1\left(x^3-3x\right)dx$

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

D. $S={\int }_{-1}^0\left(x^3-3x\right)dx+{\int }_0^1\left(3x-x^3\right)dx$

A. $S={\int }_0^1{x}^{3}dx+{\int }_1^2\left(x-2\right)d\text{x}$

B. $S=\left({\int }_0^2\left(x^3+x-2\right)dx\right)$

C. $S=\frac{1}{2}+{\int }_0^1{x}^{3}d\text{x}$

D. $S={\int }_0^1\left(x^3+x-2\right)d\text{x}$

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

B. $S=\underset{0}{\overset{e}{\int }}\left(e^x-x\right)dx$

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

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

A. S=2+e

B. S=2-e

C. S=e-2

D. S=e-1

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

B. $S={\int }_1^{-2}f\left(x\right)dx+{\int }_1^{2}f\left(x\right)dx$

C. $S={\int }_{-2}^{1}f\left(x\right)dx+{\int }_1^{2}f\left(x\right)dx$

D. $S={\int }_{-2}^{1}f\left(x\right)dx-{\int }_1^{2}f\left(x\right)dx$

A. $\frac{5}{2}$

B. $\frac{35}{6}$

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

D. $\frac{-35}{6}$

A. $S=\underset{-1}{\overset{0}{\int }}f\left(x\right)dx+\underset{0}{\overset{1}{\int }}\left|f\right(x\left)\right|dx$

B. $\underset{-1}{\overset{1}{\int }}\left(f\left(x\right)\right)dx$

C. ${\int }_{-1}^{1}f\left(x\right)dx$

D. $S=\left(\underset{-1}{\overset{1}{\int }}f\left(x\right)dx\right)$

A. S=b-a

B. S=b+a

C. S=-b+a

D. S=-b-a

A. $S=\frac{16}{3}$

B. $S=\frac{161}{6}$

C. $S=\frac{1}{6}$

D. $S=\frac{5}{6}$

A. $\pi +\frac{4}{3}$

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

C. $\frac{\pi }{2}$

D. $\frac{\pi }{2}+\frac{1}{3}$

A. 0

B. 16

C. 4

D. 8

A. $\frac{253}{12}$

B. $\frac{253}{24}$

C. $-\frac{125}{24}$

D. $-\frac{125}{12}$

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

B. $\frac{3}{5}$

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

D. $\frac{1}{3}$