Integral exponential function delta

## Integral delta exponential function

\displaystyle \begin{align*} e^X &= \sum_{n = 0}^{\infty}{\frac{X^n}{n!}} \ e^{x^2} &= \sum_{n = 0}^{\infty}{\frac{\left( x^2 \right) ^n }{n!}} \ &= \sum_{n = 0}^{\infty}{\frac{x^{2n}}{n!}} \ \int{e^{x^2}\,dx} &= \int{\sum_{n = 0}^{\infty}{\frac{x^{2n}}{n!}}} \ &= \sum_{n = 0}^{\infty}{\frac{x^{2n + 1}}{\left( 2n + 1 \right) n!}} \end{align*}

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## Integral exponential delta function

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## Delta exponential function integral

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Function integral delta exponential

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