Question

Evaluate:∫sinx+cosx√1+sin2xdx

Answer 1

$\huge\underline\mathfrak{Solution}$

Integrated ∫sinx + cosx/√1+sin2xdx

I→∫sinx + cosx / √ 1+ sin²x*dx

→∫sinx + cosx/ √sin²x+cos²x+2sinxcosx*dx

→∫sinx + cosx/√(sinx+cosx)²*dx

→∫1dx = x+C