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.
In the order our region is bounded by so and from here and the limits for order will be
Of course, this trick not always works, or may be hard sometimes if you only want to play with inequalities. In fact is useful for quick stuff.