Integrate ∫(sinx - cosx)/(1 + sinxcosx) dx, x∈[0, π/2]

Question

Integrate \(\int\limits_0^{π/2}\)(sinx - cosx)/(1 + sin x cos x) dx

Answer 1

we use \(\int\limits_0^{a}\)f(x)dx = \(\int\limits_0^{a}\)f(a - x)dx