Use spherical coordinates to show that , where lies between the spheres and in the first octant (i.e. ).
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Originally Posted by wik_chick88 Use spherical coordinates to show that , where lies between the spheres and in the first octant (i.e. ). So the bounds are: This makes the integrand: The integral is: Here's the evaluation of the integral, if you need it: Spoiler: Evaluating the innermost integral gives you Noticing that , our integral is now: Evaluating the next integral, we have Now the integral is So the integral is
Last edited by redsoxfan325; Apr 23rd 2009 at 08:40 AM.
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