Question

Evaluate the integral: ∫sin³ x cos x dx

Answer 1

It is given that

∫sin³ x cos x dx

By taking sin x = t

We get

cos x = dt/dx

It can be written as

cos x dx = dt

So we get

= ∫t³ dt

By integrating w.r.t t

= t⁴/4 + c

By substituting the value of t

= sin⁴ x/4 + c