How to Integrate the Complementary Error Function with an Exponential Decay?

[EngWiPy]

Hello,

How to integrate the following integral (or what to use in the table of integrals):

$$\int_0^{\infty}\underbrace{\mbox{erfc}\left(\sqrt{\gamma}\right)}_{Complementary Error Function}\,\mbox{e}^{-\gamma}\,d\gamma$$?

Thanks in advance

 

[Count Iblis]

Substitute gamma = t^2 and then do a partial integration where you integrate te factor t exp(-t^2).

 

[EngWiPy]

Substitute gamma = t^2 and then do a partial integration where you integrate te factor t exp(-t^2).

It is solved straightforward by using integration by parts and the Leibniz's rule.

Thanks