Question

Given equation of the curve is $y=sinx$.

Using definite integral, find the area of the region between the given curve and the x-axis in the interval of $[0,\pi ]$.

• A. $1$
• B. $2$
• C. $\frac{\pi }{2}$
• D. $\pi$

Answer 1

The correct option is B $2$

The area of the region between the given curve $y=sinx$ and the x-axis is given by
$A=\int ydx$
$\Rightarrow {\int }_0^{\pi }sinxdx={\left[\right(-cosx\left)\right]}_0^{\pi }$
$\Rightarrow \left[\right(-cos\pi )-(-cos0\left)\right]=2$