Find $$\int_0^1\frac{x\ln(1+x)}{1+x^2}dx$$ I think it has not an anti-derivative because i tried it with different ways such as using the sub $$x=\tan{y}$$ to be $$\int\tan{y} \ln\left(1+\tan{y}\right)dx$$ so what is the procedure to solve it?
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