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I would like to derive the Ixy equation from simple integration and I can't seem to get the right answer (third equation down the picture). I seem to be able to derive Ixx and Iyy easily but product moment of area requires first moment of area to be calculated and I just don't know how to do that on an inclined section.

Any help would be apprecited on this issue.

Thank you.

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# Product moment of inertia of an inclined section of a beam

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