Question

The area bounded by the curve $y=sin\left(\frac{x}{3}\right)$, x-axis and lines $x=0$ and $x=3\pi$ is _____

• A. $9$
• B. $0$
• C. $6$
• D. $3$

Answer 1

The correct option is C $6$

Required area is given by, ${\int }_0^{3\pi }\sin \left(x/3\right)dx=-3\left[\cos \right(x/3){]}_0^{3\pi }=6$