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moment of inertia of an ellipse

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hello!
I have to verify the formula of the moment of inertia of an ellipse about its' centroidal axis,
is it M*(a^2 + b^2)/4.This is the one I got by myself.
But in a webpage it was given as Pi*a*(b^3)/4.

NOTE: don't ask for the proof of what I did.Its' a bit longer.I just wanna know whether its' correct or
not.

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