(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Evalute the integral

∫ [x / 1 + x] dx

2. Relevant equations

∫ [x / 1 + x] dx

3. The attempt at a solution

I forgot how to do solve this type of integral, or never had enough practice. And this problem is actually for a physics problem :-) And my algebra is very rusty as well.

∫ [x / 1 + x] dx

Can't do U-sub, don't think you can do by parts, can't do trig substitution, not sure about partial fractions

Divide everything by 'x'.

∫ [x / 1 + x] dx = ∫ [x (1 / x)/ 1(1 / x) + x(1 / x)] dx

∫ [1 / (1/x) + (1)] dx

Not sure where to go from here.

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# How to integrate [ x / (1 + x) ] dx

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