$\mathop \smallint \nolimits_{ - 1}^1 \,\,{\sin ^3}\,\,x\,\,{\cos ^2}\,\,x\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Understanding +4 | -1

\int \nolimits_{ - 1}^1 \,\,{\sin ^3}\,\,x\,\,{\cos ^2}\,\,x\,dx

is equal to

View answer and explanation

Correct option: C

\mathrm{0}

Option C (0) is correct because the integrand is an odd function, and the integral is evaluated over a symmetric interval [-1, 1].

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