(adsbygoogle = window.adsbygoogle || []).push({}); An integral paradox ??

let be [tex] \int_{0}^{\infty}xdx \int_{0}^{\infty}ydy [/tex]

changing to polar coordinates we get that the double integral above shoudl be

[tex] 2\int_{0}^{\infty}r^{3}dr [/tex]

althoguh they are all divergent , is this true can we ALWAYS make a change of variable to polar coordinates without any ambiguity ??

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# An integral paradox ?

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