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\int_{-\infty}^{\infty} \frac{1}{\sqrt{2\pi\sigma^2}} \exp\left(-\frac{(x-\mu)^2}{2\sigma^2}\right) \cdot \sum_{n=0}^{\infty} \frac{(-1)^n}{n!} \left(\frac{x-\mu}{\sigma}\right)^{2n} dx $\int_{- \infty}^{\infty} \frac{1}{\sqrt{2 π σ^{2}}} \exp (- \frac{(x - μ)^{2}}{2 σ^{2}}) \cdot \sum_{n = 0}^{\infty} \frac{(- 1)^{n}}{n!} {(\frac{x - μ}{σ})}^{2 n} d x$

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