JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

[x]

denotes the greatest integer less than or equal to

x

then the value of

\int_{\frac{-\pi}{2}}^{\frac{\pi}{2}}[[x]-\operatorname{Sin} x] d x=

View answer and explanation

Correct option: D

-\pi

Option D (

-\pi

) is correct because the integral simplifies to the integral of -1 over the given interval, which results in

-\pi

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