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I'm not sure how to go about finding the following moments:

[tex]

M_{x}= \int \int\ [/tex] y dx dy

[tex]

M_{y}= \int \int\ [/tex] x dx dy

Where the region is bounded by the ellipse:

[tex]\frac{(x-2)^2}{16}} + \frac{(y-4)^2}{36}}[/tex] = 1

I tried this several ways. I drew the ellipse and found the bounds to be

-2 [tex]\leq y[/tex] [tex]\leq10[/tex]

-2 [tex]\leq x[/tex] [tex]\leq 6[/tex]

Then I tried integrating with those bounds, but I can't seem to get the right answers. Any help/hints would be greatly appreciated.

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# Homework Help: Calculating Moments

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