How to calculate this complex integral $\int_0^\infty \frac{1}{q+i}e^{-(q+b)^2}\text{d}q$? (Please Help) I want to carry out the following integration
$$\int_0^\infty  \frac{1}{q+i}e^{-(q+b)^2}\text{d}q$$
which is trivial if calculated numerically with any value for b. But I really need to get an analytic expression for this integral. I would really appreciate it if you can help with this integral. Or if you can tell it's not possible to carry it out analytically, that is also helpful. 
Thanks in advance
Huijie

$$\text{res}\left(\frac{\left(\sqrt{\pi } e^{\frac{1}{4} z (4 b+z)} \text{erfc}\left(b+\frac{z}{2}\right)\right) \left(e^{-i z} (-2 \text{Ci}(z)-2 i \text{Si}(z)-2 \log (-z)+2 \log (z)-i \pi )\right)}{}\{z,\alpha \}\right)$$ sorry my latex do not work find
