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Integral with modulus in the exponent and denominator
I am trying to do this integral \int_{-\infty}^{\infty}\frac{e^{-a| \vec{r}|}e^{-\vec{b}. \vec{r}}}{|\vec{r}|} But if I write the modulus as \vec{r}=\sqrt{x^{2}+y^{2}+z^{2}} I can't figure out how to handle the annoying square root in the exponential. Would be grateful for hints, thanks...- go4321
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- Integrate Modulus Vector
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- Forum: Calculus and Beyond Homework Help