Let r be the region in the plane bounded by y=x^2, y=0, and x=1. set
up an iterated double integral to evaluate double integral of e^(y/x)

One way to set up the integral is to write it as



In the opposite order, you could use the equivalent



It's not clear whether you actually have to evaluate the integral or not; I suspect no, since either integrand taken with respect to does not have an elementary antiderivative.

Did you get there answer to 44?