Area bounded by the curve \(y=x\sin x\)

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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:

\(\begin{aligned}\text{Area}&=\int_{0}^{2\pi}x\sin xdx\\ &=2\pi\end{aligned}\)