Evaluate the following integrals:

Question

Philoid · Accepted Answer

Assume x - cosx = t

⇒ d(x - cosx) = dt

⇒ (1 + sinx )dx = dt

∴ Substituting t and dt in given equation we get

⇒

But t = x – cosx.

⇒ 2(x - cosx)^1/2 + c.