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Question Number 64975 by Tawa1 last updated on 23/Jul/19

Commented by Prithwish sen last updated on 23/Jul/19

∫x^((1/2)+(1/(2^2 .2!)) + (1/(2^3 .3!))+....) dx =∫x^((√e)−1) dx and proceed

$$\int\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} .\mathrm{2}!}\:+\:\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{3}} .\mathrm{3}!}+....} \mathrm{dx}\:=\int\mathrm{x}^{\sqrt{\mathrm{e}}−\mathrm{1}} \mathrm{dx}\:\mathrm{and}\:\mathrm{proceed} \\ $$

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