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Question Number 30008 by Jmasanja last updated on 14/Feb/18

$$integratew.r.tx$$$$\int \left(e^{x^2}\right)dx$$

Commented by abdo imad last updated on 14/Feb/18

$$wehave{e}^u=\sum _{n=0}^{\mathrm{\infty }}\frac{u^n}{n!}\Rightarrow e^{x^2}=\sum _{n=0}^{\mathrm{\infty }}\frac{x^{2n}}{n!}anddueto$$$$uniformconvergence\int e^{x^2}dx=\sum _{n=0}^{\mathrm{\infty }}\frac{x^{2n+1}}{(2n+1)(n!)}....$$

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