# double integration help

• November 4th 2011, 12:48 PM
acasas4
double integration help
This region in the first octant is bounded by the coordinate planes and the paraboloid x^2+y^2+z=4. If the volume of the region is given by the double integral
intgral from 0 to 2 integral from 0 to B (A dydx)

What is A?
What is B?

I dont know how to solve this problem.

*I attached a word doc with the integral because I dont know how to properly show integrals in forum. *

Thanks
• November 4th 2011, 01:10 PM
alexmahone
Re: double integration help
Quote:

Originally Posted by acasas4
This region in the first octant is bounded by the coordinate planes and the paraboloid x^2+y^2+z=4. If the volume of the region is given by the double integral
intgral from 0 to 2 integral from 0 to B (A dydx)

What is A?
What is B?

I dont know how to solve this problem.

*I attached a word doc with the integral because I dont know how to properly show integrals in forum. *

Thanks

$V=\int_0^2\int_0^2z dydx$

$=\int_0^2\int_0^2 (4-x^2-y^2)dydx$