$\mathop \smallint \nolimits_{ - \pi /2}^{\pi /2} \,\,\sin \,\,\left| {\,x\,} \right|\,\,dx$is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int \nolimits_{ - \pi /2}^{\pi /2} \,\,\sin \,\,\left| {\,x\,} \right|\,\,dx

is equal to

View answer and explanation

Correct option: C

\mathrm{2}

Option C (2) is correct because the integral of sin|x| from -

\pi

/2 to

\pi

/2 is twice the integral of sin(x) from 0 to

\pi

/2.

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