integrate (e^(sin(x)))cos(x) dx from pi/2 to 0...?

Answer 1

Let t=sinx
=> dt = cosx dx

x=pi/2 => t=1
x=0 => t=0

I=integrate(e^t dt) from 0 to 1

=e^t from 0 to 1

=> I= e^1 - e^0 = e-1

Answer is I=e-1

Answer 2

Answer is e - 1