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Use the divergence theorem to compute the surface integral F dot dS , where

F=(xy^2, 2y^2, xy^3) over closed cylindrical surface bounded by x^2+z^2=4 and y is from -1 to 1.

I've tried doing it and got 32pi/3 (i guess its wrong, so how to do it?)

Is it ok to compute Div F in terms of xyz and after that change into cylindrical polar coordinates to calculate volume?

F=(xy^2, 2y^2, xy^3) over closed cylindrical surface bounded by x^2+z^2=4 and y is from -1 to 1.

I've tried doing it and got 32pi/3 (i guess its wrong, so how to do it?)

Is it ok to compute Div F in terms of xyz and after that change into cylindrical polar coordinates to calculate volume?

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