Calculate the double integrals:
IntInt R (x-y^2)dA
where R is the region bounded by the curves y = x^2 and y = x^3
IntInt D x^3 sin(y^3)dydx
where D is the region bounded by the parabola y = x^2 and the two straight lines x = 0 and y = 1
I will be forever grateful for all the help I can get.