JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

a

and

b

are real numbers different from zero, then

\int\limits_{0}^{\pi / 2} \frac{|a b|}{a^2 \cos ^2 x+b^2 \sin ^2 x} d x=

View answer and explanation

Correct option: A

\frac{\pi}{2}

Option A (

\frac{\pi}{2}

) is correct because after simplification and using trigonometric substitutions, the integral evaluates to

\frac{\pi}{2}

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