Write the area of the region D as a definite integral with respect to y:
where the integrand is the length of any Reimann strip. Then you can easily convert that to a double integral of 1 with respect to dx dy.
So there's your limits.
I have been set the following question;
∫∫D f(x,y) dxdy, where f(x,y)=xy^2, and D is the region in the first quadrant bounded by the curves y=x^2, and x=y^2.
The integration part I don't have a problem with, but I need some advice on how I calculate the limits from the domain statement. I assume that the answer is 0 to 1, based on common sense, but would appreciate of someone could explain how I can show the calculation of this.
Thanks in advance.