The value of $ \int_\limits {0}^{16 \pi / 3}|\sin x| d x $ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\int\limits_{{0}}^{16 \pi / 3}|\sin x| d x

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Correct option: C

21 / 2

Option C (21/2) is correct because the integral of the absolute value of sin(x) over the given interval is calculated by splitting the integral into intervals of length pi.

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