Question

The area bounded by the line $y=\left|\sin x\right|$, x-axis and the lines $\left|x\right|=\pi$ is:

• A. $2$
• B. $1$
• C. $4$
• D. None of these

Answer 1

Answer: (C)

$4$

The required area

$={\int }_{-\pi }^{\pi }\left|\sin x\right|dx=2{\int }_0^{\pi }\sin xdx=-2{\left[\cos x\right]}_0^{\pi }=-2(\cos \pi -\cos 0)=4$