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## Homework Statement

I need to integrate an expression of the form

[tex]e^{ax^{2}+bx+c}[/tex]

## Homework Equations

I know that

[tex]\int_{a}^{b}e^{-y^{2}}dy=\frac{\sqrt{\pi}}{2}(\mbox{erf}(b)-\mbox{erf}(a))[/tex]

## The Attempt at a Solution

I tried to substitute [tex]ax^{2}+bx+c[/tex] by [tex]-y^{2}[/tex] but I get hopelessly tangled. (PS.: how do get the tex tags to not create an equation environment but stay inline?)