Question

Evaluate the integral \( \int_0^1 \frac{\ln(1 + x)}{1 + x^2} \, dx \)

• A. \( \frac{\pi \ln 2}{8} \)
• B. \( \frac{\ln 2}{2} \)
• C. \( \frac{\pi}{4} \)
• D. \( \frac{\pi \ln 2}{4} \)

Hint:

\textbf{Tip:} For integrals involving \( \frac{\ln(1+x)}{1+x^2} \), try a trigonometric substitution to simplify.