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Question Number 56747 by Tawa1 last updated on 22/Mar/19

$$\int {\mathrm{x}}^2{\mathrm{e}}^{{\mathrm{x}}^2}\mathrm{dx}$$

Answered by tanmay.chaudhury50@gmail.com last updated on 22/Mar/19

$$\int x^2(1+x^2+\frac{x^4}{2!}+\frac{x^6}{3!}+\frac{x^8}{4!}+...)dx$$$$\int x^2+\frac{x^4}{1}+\frac{x^6}{2!}+\frac{x^8}{3!}+\frac{x^{10}}{4!}+...)dx$$$$=\frac{x^3}{3}+\frac{x^5}{1\times 5!}+\frac{x^7}{2!\times 7}+\frac{x^9}{9\times 3!}+...+c$$$$$$$$$$

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