# Double integration of 2 cylinders

• Feb 24th 2013, 12:57 AM
kidi3
Double integration of 2 cylinders
I have to sketch the domain of the integration and evaluate the given iterated integrals.

I have 2 cylinders
1. \$\displaystyle x^2+y^2 = a^2\$
2. \$\displaystyle y^2+z^2 = a^2\$

The biggest problem for me is to write the integration, with the boundaries?
How do i find them?
• Feb 24th 2013, 01:53 AM
Prove It
Re: Double integration of 2 cylinders
Have you started with a sketch?
• Feb 24th 2013, 02:20 AM
kidi3
Re: Double integration of 2 cylinders
Well thats another problem.. I don't know how it should look like, i don't know how to plot it in Mathmatica..
• Feb 24th 2013, 02:37 AM
Prove It
Re: Double integration of 2 cylinders
The first is made of circular cross-sections in the x-y plane of radius a units, extending along the z axis.

The second is made of circular cross-sections in the y-z plane of radius a units, extending out in the x axis.
• Feb 24th 2013, 02:41 AM
kidi3
Re: Double integration of 2 cylinders
But how would it look like? Radius etc.