I recently did an integral of the form:(adsbygoogle = window.adsbygoogle || []).push({});

∫∫1/ρ dρρdθ

the extra ρ between dρ and dθ is the cost of switching to cylindrical coordinates. Now I want to know, do you carry out the integration in ρ, keeping the ρ outside the integration (since it's technically a scaling factor that belongs to the integral in θ) or should I let it go under the integral to cancel out the ρ in the denominator?

Obviously two different results are achieved, and I want to know which one you must do and why...

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# Homework Help: Integral in cylindrical coordinates

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