1. The problem statement, all variables and given/known data The Gamma function is given by [itex]\Gamma[/itex](x) = 0∫∞ tx-1e-t dt Evaluate 0∫∞ exp(-αy2)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.