$\mathop \smallint \nolimits_{ - 1}^1 \,\,[x\,\,\sin \,\,{\rm{\pi }}x]\,\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int \nolimits_{ - 1}^1 \,\,[x\,\,\sin \,\,\mathrm{\pi }x]\,\,dx

is equal to

View answer and explanation

Correct option: D

\mathrm{0}

Option D (0) is correct because the integrand is an even function and the value of the function inside the integral is zero within the integration limits.

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