Question

∫sin⁵x cos x dx 

Answer 1

Suppose sin x = t

d(sin x) = dt = cos x dx

Putting t = sin x and dt = cos x dx in given equation

∫sin⁵x cos x dx = ∫t⁵ dt

By integrating

= t⁶/6 + c

On substituting the value of t

= sin⁶ x/6 + c