The value of the integral ∫_(1/2)² (tan⁻¹ x)/x dx is equal to: | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 29 January, Shift 2Definite Integrals

The value of the integral $\int_{1/2}^2 \frac{\tan^{-1} x}{x} \, dx$ is equal to:

A
$\pi \log_e 2$
B
$\frac{1}{2} \log_e 2$
C
$\frac{\pi}{4} \log_e 2$
D
$\frac{\pi}{2} \log_e 2$

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