Solving Difficult Integral Homework: \int_0^1\frac{ln(1+x)}{1+x^{2}} dx

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The integral \(\int_0^1\frac{ln(1+x)}{1+x^{2}} dx\) poses a challenge for solving through standard methods. Attempts at substitutions and integration by parts have not yielded results. A key identity related to logarithmic functions may be necessary for progress. Understanding when to apply this identity after making a substitution is crucial. Overall, the discussion highlights the difficulty of the integral and the need for strategic approaches.
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Homework Statement



I'm stuck with this definite integral : \int_0^1\frac{ln(1+x)}{1+x^{2}} dx

Homework Equations



The various "standard integrals".

The Attempt at a Solution



I just don't know where to start, or how to do it. I tried various substitutions but none of them worked; I also tired doing it by parts but that didn't work either.
 
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Okay, I got that. Thanks.
I knew of the identity, but didn't know I'd have to use it after making a substitution.
 

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