Thread: Evaluate the Integral over the given region. BOUNDARIES

Here is a picture of the problem:

I know that the y values are bounded between y=-1 and y=1+x^2.
I am slightly confused about how the x values are bounded. They are bounded on the left by x=-1 and on the right by x=y^2, but how do I also show that it is bounded by x=1?
Do I need to evaluate the area by using three integrals?

Thank you for the help!

I would use three integrals

Here's another way to do it: The integral over the entire square is [tex]\int_{x= -1}^1\int_{y= -1}^2 xydy[tex].

Subtract from that the integral above the parabola and below y= 2, , and the integral from to x= 1, .

Perfect! Thanks to you both, its so simple I'm disappointed I never thought of doing it like that!