Question

The area of figure bounded by $y=e^x,y=e^{-x}$ and the straight line $x=1$ is

• A. $\left(e+\frac{1}{e}\right)$ sq unit
• B. $\left(e-\frac{1}{e}\right)$ sq unit
• C. $\left(e+\frac{1}{e}-2\right)$ sq unit
• D. $\left(e+\frac{1}{e}+2\right)$ sq unit

Answer 1

Answer: (C)

Required area $=\underset{0}{\overset{1}{\int }}\left(e^x-e^{-x}\right)dx$
$={\left[e^x+e^{-x}\right]}_0^1$

$=\left(e+\frac{1}{e}-2\right)$ sq unit