Question

integral of (sinx. e^cosx- (sinx+cosx).e^(sinx+cosx)/ e^2sinx- 2e^(sinx) +1

Answer 1

#.A test I just had was integrate by substitution:

Sin(x)e^Cos(x).

I did something like this:

Let u=Cos(x)

du=-sin(x) dx

∫sin(x)e^Cos(x) dx = ∫-e^u du

=∫-e^Cos(x) du

= -e ^cos (x) + c

Is that correct??

Thank you.