$\mathop \smallint \nolimits_0^{2\pi } \,\,(\sin \,\,x\,\, + \,\,|\sin \,\,x)\,\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int \nolimits_0^{2\pi } \,\,(\sin \,\,x\,\, + \,\,|\sin \,\,x)\,\,dx

is equal to

View answer and explanation

Correct option: B

\mathrm{4}

Option B (4) is correct because the integral of |sin x| from 0 to 2π is 4, and the integral of sin x from 0 to 2π is 0.

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