JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Hard

1 of 1

Application +4 | -1

The value of

\int\limits_{{-20 \pi}}^{20 \pi}[\sin x+\cos x] d x

is: (where [.] denotes greatest integer function)

View answer and explanation

Correct option: B

-20 \pi

Option B (

-20 \pi

) is correct because the integral of the greatest integer function of

\sin x + \cos x

over the given interval evaluates to

-20\pi

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[*]

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