Question

The area bounded by the curve $y=\sin 2x,x=0,x=\pi$ and X-axis is

• A. $4$
• B. $2$
• C. $1$
• D. $\frac{3}{2}$

Answer 1

The correct option is B $2$


Area, $A=2\underset{0}{\overset{\pi /2}{\int }}\sin 2xdx=2{\left[\frac{-\cos 2x}{2}\right]}_0^{\pi /2}$
$\Rightarrow A=2(\frac{1}{2}+\frac{1}{2})=2$