Determine the value of ∫0π/2cosxesinx+ecosxdx\int_0^{\pi/2} \frac{\cos x}{e^{\sin x} + e^{\cos x}} dx∫0π/2esinx+ecosxcosxdx.
\ln(e) - \ln(1)
0
\frac{1}{2}
\frac{\pi}{4}