Use fundamental theorem of calculus:

Question

Int(pi/2_pi) of e^(sin(q))*cos(q)dq

Answer 1

u-substitute u=sin(q). du = cos(q) dq.
from u=sin(pi)=0 to u=sin(2pi)=0

int(e^u du) from 0 to 0
=e^0-e^0
=0