JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The value of

\int\limits_{{-\pi / 2}}^{\pi / 2} \frac{d x}{[x]+[\sin x]+4}

, where

[t]

denotes the greatest integer less than or equal to

t

, is:

View answer and explanation

Correct option: C

\frac{3}{20}(4 \pi-3)

Option C (

\frac{3}{20}(4 \pi-3)

) is correct because the integral is solved by breaking it into intervals based on the greatest integer function.

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