Question:medium

The value of \( \int_{0}^{\infty} \frac{\ln x}{x^2 + 4} \, dx \) is equal to:

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The integral of \( \ln(\tan \theta) \) from 0 to \( \pi/2 \) is a famous zero-integral. Recognizing these "Special Functions" properties saves significant calculation time.

Updated On: Apr 6, 2026

\( \frac{\pi \ln 2}{4} \)
\( \frac{\pi \ln 2}{2} \)
\( \frac{\pi \ln 4}{3} \)
\( \frac{3\pi \ln 2}{4} \)

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The Correct Option is A

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