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## Main Question or Discussion Point

[tex]\int_0^\infty e^{-ax^2+bx} dx[/tex], a and b may be complex.

Does exist any formula for this integral?

Or for [tex]\int_{-\infty}^\infty e^{-ax^2+bx} dx[/tex]???

Does exist any formula for this integral?

Or for [tex]\int_{-\infty}^\infty e^{-ax^2+bx} dx[/tex]???