∫^(π/2)(-π/2) sin^2 x cos^2 x(sin x + cos x)dx =

Question

\(\int^{\pi/2}_{-\pi/2}\) sin² x cos² x(sin x + cos x)dx =

(a) \(\frac{2}{5}\)

(b) \(\frac{2}{15}\)

(c) \(\frac{4}{15}\)

(d) \(\frac{8}{15}\)

Answer 1

Correct option is (c) \(\frac{4}{15}\)