- #1
Zatman
- 86
- 0
[itex]\Gamma[/itex](n) = int(0 to infinity)[(x^(n-1))*e^-x]dx
Show that it can also be written as:
[itex]\Gamma[/itex](n) = 2int(0 to infinity)[(x^(2n-1))*e^(-x^2)]dxI have no idea how to go about this. I have tried integration by parts of each to see if anything relates, but how can you get from an exp(-x) to and exp(-x^2) term?
Any help would be appreciated.
(PS apologies, I am unfamiliar with writing formulae using latex)
Show that it can also be written as:
[itex]\Gamma[/itex](n) = 2int(0 to infinity)[(x^(2n-1))*e^(-x^2)]dxI have no idea how to go about this. I have tried integration by parts of each to see if anything relates, but how can you get from an exp(-x) to and exp(-x^2) term?
Any help would be appreciated.
(PS apologies, I am unfamiliar with writing formulae using latex)