f(x) = e^(sin(x))cos(x)

Answer 1

f(x) = e^(sin(x))cos(x)
I=∫f(x)
= ∫e^(sin(x))cos(x)dx
use substitution u=sin(x),
du=cos(x)dx
I=∫e^u du
=e^u +C'
=e^(sin(x))+C