I have encountered a problem with the following form:

$\displaystyle \int x e^{ax^2-bx}dx$

I can only find formulas for $\displaystyle \int x e^{ax^2}dx$ and $\displaystyle \int x e^{bx}dx$ and don't know how to make use of these two formulas.

Can someone help me on this? Thanks a lot!!