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x-e-x-dx-




Question Number 16839 by arnabpapu550@gmail.com last updated on 27/Jun/17
∫x^e^x  dx
$$\int\mathrm{x}^{\mathrm{e}^{\mathrm{x}} } \mathrm{dx} \\ $$
Commented by prakash jain last updated on 01/Jul/17
This does not integrate to a standard  function.  x^e^x  =e^(e^x ln x)   A series represention of the integral  is possible.
$$\mathrm{This}\:\mathrm{does}\:\mathrm{not}\:\mathrm{integrate}\:\mathrm{to}\:\mathrm{a}\:\mathrm{standard} \\ $$$$\mathrm{function}. \\ $$$${x}^{{e}^{{x}} } ={e}^{{e}^{{x}} \mathrm{ln}\:{x}} \\ $$$$\mathrm{A}\:\mathrm{series}\:\mathrm{represention}\:\mathrm{of}\:\mathrm{the}\:\mathrm{integral} \\ $$$$\mathrm{is}\:\mathrm{possible}. \\ $$
Commented by arnabpapu550@gmail.com last updated on 28/Jun/17
Thank you sir.
$$\mathrm{Thank}\:\mathrm{you}\:\mathrm{sir}. \\ $$

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