Given I=∫0π/2cos2(x)cos2(x)+sin2(x)dxI = \int_0^{\pi/2} \frac{\cos^2(x)}{\cos^2(x) + \sin^2(x)} dxI=∫0π/2cos2(x)+sin2(x)cos2(x)dx, what is the value of III after applying the property ∫0af(x)dx=∫0af(a−x)dx\int_0^a f(x) dx = \int_0^a f(a-x) dx∫0af(x)dx=∫0af(a−x)dx?
π/2\pi/2π/2
π/4\pi/4π/4
111
000