Evaluate ∫0π/2ln(sin2x+3cos2x)dx\int_{0}^{\pi/2} \ln(\sin^2 x + 3\cos^2 x) dx∫0π/2ln(sin2x+3cos2x)dx.
πln(2)\pi \ln(2)πln(2)
π2ln(2)\frac{\pi}{2} \ln(2)2πln(2)
πln(2)\pi \ln(\sqrt{2})πln(2)
π2ln(3)\frac{\pi}{2} \ln(3)2πln(3)