Determine the value of the integral I=∫0π/2cos(x)sin(x)+cos(x)dxI = \int_{0}^{\pi/2} \frac{\cos(x)}{\sin(x) + \cos(x)} dxI=∫0π/2sin(x)+cos(x)cos(x)dx.
000
π/4\pi/4π/4
111
π/2\pi/2π/2