Regarding the original problem:
\int_{0}^{\infty}\mbox{erf}^2(\sqrt{x})\exp(-x)dx
here is what I've got so far.
u=\mbox{erf}^2(\sqrt{x}),
du=\frac{2\mbox{erf}(\sqrt{x})\exp(-x)}{\sqrt{\pi}\sqrt{x}}dx,
dv = \exp(-x) dx,
v=-\exp(-x).
Thus, we have...
Hi, may I know how do you solve for \int_{0}^{\infty}\mbox{erf}(\sqrt{x})\exp(-x)dx ?
Could you detail the assignment of 'u' in each iteration of integration, and how do you get the eventual term in arctan?
Could you give me some hints on solving that because it seems to me that...