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How would one evaluate $\int_0^1 {\ln(1+x)\over x}\,dx$?

I'd like to do this without approximations. Not quite sure where to start. What really bothers me is that I came across this while reviewing my old intro to calculus book... but I'm fairly certain I've exhausted all the basic methods they teach in that text.

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    Looks like you have something in the form of this: https://en.wikipedia.org/wiki/Polylogarithm According to Wolfram, you should get pi^2/12.2012-02-29
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    The section of the text it's in suggests definitive evaluation methods. Which is what gets me, otherwise I could just apply Simpson's.2012-02-29
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    Series expansion of the logarithm will be helpful, if we make use of some known facts on Riemann zeta function.2012-02-29

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