$\mathop \smallint \nolimits_0^{10\pi } \,\,|\sin \,\,x|\,\,dx\;\,\,{\rm{is}}$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int \nolimits_0^{10\pi } \,\,|\sin \,\,x|\,\,dx\;\,\,\mathrm{is}

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Correct option: A

Option A (20) is correct because the integral of |sin x| over one period (π) is 2, and there are 10 such periods in the interval [0, 10π].

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