1 1
--------------- + ----------------
/ 2 \ / 2\
x*\1 + log (x)/ \1 + x /*atan(x)
$$\frac{1}{\left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}} + \frac{1}{x \left(\log{\left(x \right)}^{2} + 1\right)}$$
/ 1 1 2*x 2*log(x) \
-|---------------- + ------------------ + ----------------- + -----------------|
| 2 / 2 \ 2 2 2|
|x *\1 + log (x)/ / 2\ 2 / 2\ 2 / 2 \ |
\ \1 + x / *atan (x) \1 + x / *atan(x) x *\1 + log (x)/ /
$$- (\frac{2 x}{\left(x^{2} + 1\right)^{2} \operatorname{atan}{\left(x \right)}} + \frac{1}{\left(x^{2} + 1\right)^{2} \operatorname{atan}^{2}{\left(x \right)}} + \frac{1}{x^{2} \left(\log{\left(x \right)}^{2} + 1\right)} + \frac{2 \log{\left(x \right)}}{x^{2} \left(\log{\left(x \right)}^{2} + 1\right)^{2}})$$
/ 2 2 \
| 1 1 1 1 3*x 3*log(x) 4*log (x) 4*x |
2*|---------------- + ------------------ - ----------------- - ----------------- + ------------------ + ----------------- + ----------------- + -----------------|
| 3 / 2 \ 3 2 2 3 2 3 3 |
|x *\1 + log (x)/ / 2\ 3 3 / 2 \ / 2\ / 2\ 2 3 / 2 \ 3 / 2 \ / 2\ |
\ \1 + x / *atan (x) x *\1 + log (x)/ \1 + x / *atan(x) \1 + x / *atan (x) x *\1 + log (x)/ x *\1 + log (x)/ \1 + x / *atan(x)/
$$2 \left(\frac{4 x^{2}}{\left(x^{2} + 1\right)^{3} \operatorname{atan}{\left(x \right)}} + \frac{3 x}{\left(x^{2} + 1\right)^{3} \operatorname{atan}^{2}{\left(x \right)}} - \frac{1}{\left(x^{2} + 1\right)^{2} \operatorname{atan}{\left(x \right)}} + \frac{1}{\left(x^{2} + 1\right)^{3} \operatorname{atan}^{3}{\left(x \right)}} + \frac{1}{x^{3} \left(\log{\left(x \right)}^{2} + 1\right)} + \frac{3 \log{\left(x \right)}}{x^{3} \left(\log{\left(x \right)}^{2} + 1\right)^{2}} - \frac{1}{x^{3} \left(\log{\left(x \right)}^{2} + 1\right)^{2}} + \frac{4 \log{\left(x \right)}^{2}}{x^{3} \left(\log{\left(x \right)}^{2} + 1\right)^{3}}\right)$$