Evaluate the integral ∫0π/2sinxsinx+cosxdx\int_{0}^{\pi/2} \frac{\sin x}{\sin x + \cos x} dx∫0π/2sinx+cosxsinxdx using the property ∫abf(x)dx=∫abf(a+b−x)dx\int_{a}^{b} f(x) dx = \int_{a}^{b} f(a+b-x) dx∫abf(x)dx=∫abf(a+b−x)dx.
111
000
π4\frac{\pi}{4}4π
π2\frac{\pi}{2}2π