Moment of Inertia of an Ellipsoid

metgt4
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I seem to be off by a factor of 2 on the answer to this problem but I can't find where I went wrong. The term in front should be 1/5 and not 2/5. Does anybody see the mistake in my work? It is attached in a word document because I can't figure out how to put the equations into this post otherwise.

Thanks!
Andrew
 

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Just to let you know, many people, myself included, that might otherwise have a look at your stuff won't bother to open a word document. It is as easy to put your equations here as in a word document in the first place.
 
I tried to put the equations in my post but it didn't seem to work. Is there any special way to put equations into a post that I'm not seeing?
 
You put the equations in LaTeX format surrounded by tex tags. You can learn just by looking at other's posts. For example just to give you some ideas, click on this:

H(x)=\int_{0}^{\frac{\pi}{2}} \frac {f^2(x)}{g(x,\theta)} d\theta
 
Thanks! That helped a lot
 
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