Source TeX:

\fs2 I(x) = \int_0^1 \ln t \,e^{i\,x\,t}\,dt \sim - {i\,\ln x\over x}-{i\,\gamma+\pi/2 \over x} + i\,e^{i\,x} \sum_{n=1}^{\infty}{(-i)^n\,(n-1)! \over x^{n+1}}