Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:
Area bounded by the curve \(y=x\sin x\) and \(x-\) axis, where \(x=0\) to \(x=2\pi\) is
Options:
\(2\pi\)
\(3\pi\)
\(4\pi\)
None of these
Correct Answer:
\(2\pi\)
Explanation:
\(\begin{aligned}\text{Area}&=\int_{0}^{2\pi}x\sin xdx\\ &=2\pi\end{aligned}\)