Question

what is the integral from 0 to pi/2 of cos(x)* e^sinxdx

Answer 1

You should look at this as e^u du..

Answer 2

use the substitution

u = sin(x) and then du/dx = cos(x) or du = cos(x) dx

so yyou have the integral

\[\int\limits e^u du\]

just do the boundary values

Answer 3

thank you! @campbell_st