Integral help?

Question

integral of (1+cos)^(1/2)

cos(x) * is what i meant

Answer 1

Find the integral of √(1 + cosx) with respect to x.

∫√(1 + cosx) dx

= ∫√[1 + 2cos²(x/2) - 1] dx

= ∫√[2cos²(x/2)] dx

= √2∫cos(x/2) dx

= (2√2)sin(x/2) + C