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f'(x)=(e^-0.5x)/(1-e^-.5x)

I will be very thankful if someone were able to tell me a strategy in antiderivitating fractional problems.

What I did:

I set u=-0.5x

dx=du/-0.5

therefore i got (-1/0.5)((e^u)/(1-e^u))du

I am unsure of what the next step would be

Please help