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It has a been a while since college let alone since I've done any serious calculus, so I hope you can help explain this integral in a simple way that I can understand:

refer to the attached figure. I am trying to find the integral of z dV

where dV is increment of volume.

which could be written as integral of z dx dy dz

now I am trying to understand how to integrate z over dx and dy. the integral will be a circle of a certain radius but how do we exactly integrate z over dx and over dy ?

please no spherical/cylindrical coordinates. thanks a lot.

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# Confused by this integral

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