let-f-x-0-1-e-t-1-x-t-dt-with-0-lt-x-lt-1-give-f-x-at-form-of-serie-

Tinku Tara June 4, 2023 Integration 0 Comments

Question Number 42773 by maxmathsup by imad last updated on 02/Sep/18

let f(x) = ∫_0 ^1 (e^t /(1+x^t )) dt with 0<x<1 give f(x) at form of serie .

$${let}\:{f}\left({x}\right)\:=\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\:\frac{{e}^{{t}} }{\mathrm{1}+{x}^{{t}} }\:{dt}\:\:\:\:\:{with}\:\mathrm{0}<{x}<\mathrm{1} \\ $$$${give}\:{f}\left({x}\right)\:{at}\:{form}\:{of}\:{serie}\:. \\ $$

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let-f-x-0-1-e-t-1-x-t-dt-with-0-lt-x-lt-1-give-f-x-at-form-of-serie-

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