Hello,

How do I calculate the triple integral for the solid created by the triple integral of "x dV" with limit "D", where D is bounded by paraboloid z=x^2+y^2 and the plane z=1?

Any help is much appreciated. Thanks.

Printable View

- Apr 13th 2009, 06:53 PMHFLERTriple Integral Calculation
Hello,

How do I calculate the triple integral for the solid created by the triple integral of "x dV" with limit "D", where D is bounded by paraboloid z=x^2+y^2 and the plane z=1?

Any help is much appreciated. Thanks. - Apr 13th 2009, 08:38 PMChris L T521
The easiest way to approach this is to use cylindrical coordinates.

Consider the cross section of the solid when : We have the circle , after our conversion to cylindrical coordinates.

Thus, we can make the claim that , , and .

Taking into consideration that in the cylindrical coordinate system, we see that

Can you continue on with the calculation?