# Two Integrals

mathslover
I have tried many hours on the following integrals and would appreciate any help from you.

1. Int{x=0 to infinity}(exp(-x)*Ln(x)*Ln(x)dx)

2. Int{x=0 to Infinity}(exp(-x*x)*Ln(x)dx)

Any idea guys?

Homework Helper
Quickly checked it with Mathematica... the indefinite integrals are no fun (they involve hypergeometric functions and error functions) but the definite integrals come out relatively nicely.

I suppose you will want to somehow use
$$\int_0^\infty e^{-t} \ln(t) \, \mathrm dt = -\gamma$$
(the Euler gamma). The second one will also involve a Gaussian integral.

Will think a bit more...