(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The Gamma function is given by [itex]\Gamma[/itex](x) =_{0}∫^{∞}t^{x-1}e^{-t}dt

Evaluate_{0}∫^{∞}exp(-αy^{2})dy in terms of Gamma functions.

2. Relevant equations

n/a

3. The attempt at a solution

Honestly, I don't know where to start. I have knowledge of parametric differentiation (we use alpha as the variable in class which may hint at its usage here) but I don't immediately see how it would help or what it even means to evaluate the integral "in terms of gamma functions."

I'm not just looking for the answer, I'd like a starting hint or tip to get going.

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# Evaluating integral in terms of Gamma functions

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