JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\int\limits_{{-\pi}}^\pi \frac{2 y(1+\sin y)}{1+\cos ^2 y} d y

is:

View answer and explanation

Correct option: A

\pi^2

The correct answer is A (

\pi^2

). The integral is solved by using properties of definite integrals and trigonometric substitutions.

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