JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of the definite integral

\int\limits_{0}^{\pi / 2} \frac{d x}{\tan x+\cot x+\operatorname{cosec} x+\sec x}

is:

View answer and explanation

Correct option: A

1-\frac{\pi}{4}

Option A (

1-\frac{\pi}{4}

) is correct because the integral is solved by simplifying the expression and using trigonometric identities.

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