Question

The area bounded by the curve $y={\sin }^{-1}x$ and lines $x=0,\left|y\right|=\frac{\pi }{2}$ is $2$.sq.unit

• A. True
• B. False

Answer 1

The correct option is A True

From the fig.,
Required Area$=2{\int }_0^{\frac{\pi }{2}}\sin ydy$
$=2{[-\cos y]}_0^{\frac{\pi }{2}}$
$=2[-(\cos \frac{\pi }{2}-\cos 0)]$
$=2[-(0-1)]=2$.sq.unit