JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of the integral

\int\limits_{{1 / 2}}^2 \frac{\tan ^{-1} x}{x} d x

is equal to

View answer and explanation

Correct option: C

\frac{\pi}{2} \log _e 2

Option C (

\frac{\pi}{2} \log _e 2

) is correct because by using the property of definite integrals and substituting

x

with

\frac{1}{x}

, we can simplify the integral and solve it.

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[*]

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