Solving improper integral using geometric series, Gamma function and Riemann zeta function

Mis-2104
Integrate x^n/(1+e^x)dx from 0 to ꝏ
#calculus #improperintegrals #gammafunction #riemann #zeta #function #cipher
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[@Tosi31415]

similar to what i had told you to calculate a while ago

[@slavinojunepri7648]

Nice

[@cipherunity]

Thanks

[@qwertyman123]

nice

[@cipherunity]

Thanks

[@Dedicate25]

can you do exp(-x)sinx/(1-exp(-x))

[@cipherunity]

Is it a indefinite integral?

[@Dedicate25]

@@cipherunity oh sorry,it's an integral from 0 to inf

[@cipherunity]

@@Dedicate25 okay I shall look into it

[@Dedicate25]

@@cipherunity okay, also solve it using sin(ax) if possible

[@cipherunity]

@@Dedicate25 Okay, I shall do that