Double Integral in Rectangular Coordinates

[memish]

Homework Statement

Homework Equations

n/a

The Attempt at a Solution

I set up the intgral at
integral from 0 to 5 of integral from 0 to 5y of 8e^(y^2)dxdy

I solved it as an iterated integral so I solved the first part, then ended up with integral from 0 to 5 of 40ye^(y^2)

Am I going about it right? Isn't there no antideriative for e^(y^2)? I don't know where to go from here in solving this

Thanks everyone.

 

[Dick]

Yes, there's no elementary antiderivative for e^(y^2). There is one for y*e^(y^2). Use the substitution u=y^2.