Because of that e^(y^2) you will want to reverse the order of integration. The curve y= (x^3)/2 and the line y= 4 will intersect at (2, 4) so y will go from 0 to 4. And, for each y, x will go from 0 to x= (2y)^{1/3}.
.
Because of that e^(y^2) you will want to reverse the order of integration. The curve y= (x^3)/2 and the line y= 4 will intersect at (2, 4) so y will go from 0 to 4. And, for each y, x will go from 0 to x= (2y)^{1/3}.
.