The value of the integral $\mathop \smallint \limits_0^{100} \sin \,\,\left( {x\,\, - \,\,\left[ x \right]} \right)\,\pi \,dx$, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of the integral

\int \limits_0^{100} \sin \,\,\left( {x\,\, - \,\,\left[ x \right]} \right)\,\pi \,dx

, is

View answer and explanation

Correct option: B

200/\pi

Option B is correct because the integral can be simplified using the periodic property of the function, leading to the result 200/

\pi

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