JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int\limits_{{-1}}^1 x \tan ^{-1} x d x

equals

View answer and explanation

Correct option: A

\left(\frac{\pi}{2}-1\right)

Option A (

\left(\frac{\pi}{2}-1\right)

) is correct because the integral of

x \tan^{-1} x

from -1 to 1 is equal to

\frac{\pi}{2}-1

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