Question

Evaluate the integral: $$ \int_0^{\pi/4} \frac{\ln(1 + \tan x)}{\cos x \sin x} \, dx $$

• A. \( \frac{\pi}{4} \ln 2 \)
• B. \( \frac{\pi}{8} \ln 2 \)
• C. \( \ln 2 \)
• D. \( \frac{1}{2} \ln 2 \)

Hint:

Using symmetry properties of definite integrals can help simplify complex expressions.