JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int_{-\pi / 2}^{\pi / 2} \frac{1}{|x|+\mid \sin x]+4} d x

, where

[t]

denotes the greatest integer less than or equal to

t,

View answer and explanation

Correct option: D

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

The correct answer is D (

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

) because after evaluating the integral using the properties of the greatest integer function, the result is

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

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