The value of $\mathop \smallint \nolimits_0^\pi \,\,x\,\,{\sin ^3}\,\,x\,\,dx\,\,{\rm{is}}$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of

\int \nolimits_0^\pi \,\,x\,\,{\sin ^3}\,\,x\,\,dx\,\,\mathrm{is}

View answer and explanation

Correct option: B

\frac{{2\,\pi }}{3}

Option B (

\frac{{2\pi}}{3}

) is correct because the integral can be solved using the property of definite integrals and trigonometric identities to simplify the expression.

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