JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\int \nolimits_{ - 1}^3 \,\,\left[ {{{\tan }^{ - 1}}\,\,\left( {\frac{x}{{{x^2} + \,\,1}}} \right)\,\, + \,\,{{\tan }^{ - 1}}\,\,\left( {\frac{{{x^2} + 1}}{x}} \right)} \right]\;\,\,dx

View answer and explanation

Correct option: A

2\,\mathrm{\pi }

Option A (

2\pi

) is correct because the expression inside the integral simplifies to

\pi/2

, and the integral of a constant is straightforward.

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