## Monte carlo conditioning

I am trying to learn how to reduce variance with conditioning. page 15 in these lecture notes:
http://www.columbia.edu/~mh2078/MCS_Var_Red1.pdf

The notes has only one example(page 16) and I'm not how to transfer it to other integrals

If I want to calculate the integral
I integral exp(x)*sin(2*pi*x) dx
from 0 to 1.

Then what should be my conditioning expression? I know I'm supposed to have shown my work before posting, but I'm stuck at the beginning.

With condition expression I mean the form E(E(Y|Z)) as they use in the notes.