I am trying to find the Maclaurin series for the integral of $e^{x^2}$? What I done so far is that the Maclaurin series for $e^{x^2}$ is $$e^{x^2}=\sum_{n=0}^{\infty}\frac{x^{2n}}{n!}$$
So would the Maclaurin series simply be $\sum_{n=0}^{\infty}\frac{x^{2n+1}}{n!(2n+1)}$? I am stumped and I don't know how to solve this, all help is appreciated.