Calc Help

1. Jan 31, 2005

chjopl

I need help with two questions.
Find a divergent improper integral whose value is neither infinity nor -infinity.

2. Find the volume of an ellipsoid (a^2*x^2) + (b^2*8y^2) + (c^2*z^2) = a^2*b^2*c^2 using integration.

2. Jan 31, 2005

dextercioby

For the first part,think about the (circular) trigonometrical functions and the fact that they don't have limit when evaluated in the limit of +/- infty...

Why does that ellipsoid have the that equation...??

The way i know it...

$$\frac{(x-x_{0})^{2}}{a^{2}}+\frac{(y-y_{0})^{2}}{b^{2}}+\frac{(z-z_{0})^{2}}{c^{2}}=1$$

Multiply by the square of the semiaxis' product and see whether the new expression resembles the one you're written.

Daniel.