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!