# Thread: Sketch of an Interated Integral

1. ## Sketch of an Interated Integral

I was given the following iterated integral to solve:

Integral (from 0 to 1) Integral (from 0 to 1) (2 - (x^2) - (y^2))dydx.

I solved the iterated integral but the question also wants us to sketch the solid whose volume is given by the iterated integral. I'm not sure how to make such a sketch. Can someone please give me a hand.

Thanks.

2. Originally Posted by eigenvector11
I was given the following iterated integral to solve:

Integral (from 0 to 1) Integral (from 0 to 1) (2 - (x^2) - (y^2))dydx.

I solved the iterated integral but the question also wants us to sketch the solid whose volume is given by the iterated integral. I'm not sure how to make such a sketch. Can someone please give me a hand.

Thanks.
The graph (generated in Mathematica) is attached.