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I want to calculate a volume integral of a function f(r,theta). The limits for azimuthal and polar angle is of course 0-2*pi and 0-pi, respectively. But the limits for the radius is 0 to an expression depending on the polar angle. Can I simply first integrate the r-part, say from r^4 to 1/5*r^5, and then put in the expression with the polar angle and then integrate?

See attached Word-file for explanations.

Many thanks!

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# Volume integration where the radius limit depends on the polar angle

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