I would use three integrals
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!