∫1/(e^x-1)dx
=∫e^x/(e^2x-e^x)dx
=∫1/(e^2x-e^x)de^x
=∫[1/(e^x-1)-1/e^x]de^x
=ln(e^x-1)-lne^x+C
=ln(e^x-1)-x+C
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