The value of $\mathop \smallint \limits_0^{16\;\pi /3} \,\,\left| {\,\sin \,\,x\,} \right|\,\,dx$, is

${\rm{21}}\,{\rm{/}}\,{\rm{2}}$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \limits_0^{16\;\pi /3} \,\,\left| {\,\sin \,\,x\,} \right|\,\,dx

, is

View answer and explanation

Correct option: B

\mathrm{21}\,\mathrm{/}\,\mathrm{2}

Option B (

\mathrm{21}\,\mathrm{/}\,\mathrm{2}

) is correct because it involves integrating the absolute value of sine over multiple periods.

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