I'm trying my very best to understand it, but really, I just couldn't get it. I read four books now, and some 6 pdf files and they don't give me a clear cut answer :((adsbygoogle = window.adsbygoogle || []).push({});

Alright, so this integral;

∫e, when converted to polar integral, limits become from 0 to 2∏ for the outer integral, then 0 to ∞ for the inner integral.^{-x2}dx from -∞ to ∞

What I don't understand is, why is it if the original integral is∫e, the outer integral's limits become ∏/2? Why is it not ∏?^{-x2}dx from 0 to ∞

Further, what if I need to integrate the same function, say from 0 to 1? Will polar integration help me? If it does, what will happen?

Thanks and more power guys.

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# Gaussian integral to polar coordinates - limit help?

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