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Homework Help: Calc Help

  1. Jan 31, 2005 #1
    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. jcsd
  3. Jan 31, 2005 #2

    dextercioby

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    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...

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

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

    Daniel.
     
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