$\mathop \smallint \limits_\pi ^{10\pi } \,\,\left| {\,\sin \,\,x\,} \right|\,\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \limits_\pi ^{10\pi } \,\,\left| {\,\sin \,\,x\,} \right|\,\,dx

is equal to

View answer and explanation

Correct option: D

\mathrm{18}

Option D (

\mathrm{18}

) is correct because the integral of the absolute value of sine over multiple periods simplifies to a multiple of the integral over one period.

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