#1
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power series rep respresentation of e^(x^2)
how do you find the power series representation of integral e^(x^2) dx
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#2
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Re: power series rep respresentation of e^(x^2)
Power series for e^x is:
\sum_{n=0}^{\infty} (x^n / n!). Substituting x^2 for x, power series for e^(x^2) = \sum_{n=0}^{\infty} (x^{2n} / n!). Integrating, then, gives C + \sum_{n=0}^{\infty} (x^{2n+1} / (n! * 2n+1)). Does this help? |
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