JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The value of the definite integral

\int_0^{\infty} \frac{d x}{\left(1+x^a\right)\left(1+x^2\right)}(a>0)

View answer and explanation

Correct option: A

\frac{\pi}{4}

Option A (

\frac{\pi}{4}

) is correct because using the substitution

x = \tan \theta

, the integral simplifies to

\frac{\pi}{4}

, independent of the value of

a

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