Evaluate the integral

Question

∫sinx*e^cos(x)

Answer 1

Let's try a u substitution to simplify a bit.

Let u = cos(x)

then du = -sin(x) dx

-du = sin(x) dx

∫sinx*e^cos(x)dx

∫e^u(-du) = -e^u + c = -e^cos(x) + c