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[tex]

\frac{1}{\sqrt{2\pi} \sigma} \int_{-\infty}^{\infty} \, dx \, exp\left[-\frac{(x - \mu)^2}{2\sigma^2}\right] \, ,

[/tex]

where [tex]$\mu$[/tex] and [tex]$\sigma$[/tex] arecomplexnumbers.

I tried writing

[tex]

\begin{align}

\sigma &= s_1 + is_2 \,\\

\mu &= m_1 + i m_2 \, .

\end{align}

[/tex]

The integral turned into

[tex]

\int_{-\infty}^{\infty} \, dx \, e^{x(A + iB)} e^C \, ,

[/tex]

whereA, BandCare constants. But then things got dark.

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# Homework Help: Gaussian Integral

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