What is the result of ∫0π/2ln(sinx)dx+∫0π/2ln(cosx)dx\int_0^{\pi/2} \ln(\sin x) dx + \int_0^{\pi/2} \ln(\cos x) dx∫0π/2ln(sinx)dx+∫0π/2ln(cosx)dx?
−πln2-\pi \ln 2−πln2
−π2ln2-\frac{\pi}{2} \ln 2−2πln2
πln2\pi \ln 2πln2
000