Question

The area bounded by the x-axis and the curve $y=\sin x$ and $x=0,x=\pi$ is

• A. $1$ sq. units
• B. $2$ sq. units
• C. $3$ sq. units
• D. $4$ sq. units

Answer 1

Answer: (B)

$2$ sq. units

We have to find the area of the shaded portion, where $x$ varies from $x=0$ to $x=\pi$

Area $={\int }_0^{x}ydx$

$={\int }_0^x\sin xdx=[-\cos x{]}_0^x=-[\cos x-\cos 0]$

$=[-1-1]$

$=2squnit$