3/ 1\
atan |1*-|
\ x/ 2/ 1\
3*4 *atan |1*-|*log(4)
x \ x/
x *(1 + log(x)) - -------------------------------
2 / 1 \
x *|1 + --|
| 2|
\ x /
$$x^{x} \left(\log{\left(x \right)} + 1\right) - \frac{3 \cdot 4^{\operatorname{atan}^{3}{\left(1 \cdot \frac{1}{x} \right)}} \log{\left(4 \right)} \operatorname{atan}^{2}{\left(1 \cdot \frac{1}{x} \right)}}{x^{2} \cdot \left(1 + \frac{1}{x^{2}}\right)}$$
3/1\ 3/1\ 3/1\ 3/1\
atan |-| atan |-| atan |-| atan |-|
\x/ 2/1\ \x/ /1\ \x/ 2/1\ \x/ 4/1\ 2
x 6*4 *atan |-|*log(4) 6*4 *atan|-|*log(4) 6*4 *atan |-|*log(4) 9*4 *atan |-|*log (4)
x x 2 \x/ \x/ \x/ \x/
-- + x *(1 + log(x)) - --------------------------- + -------------------------- + --------------------------- + ----------------------------
x 2 2 3 / 1 \ 2
5 / 1 \ 4 / 1 \ x *|1 + --| 4 / 1 \
x *|1 + --| x *|1 + --| | 2| x *|1 + --|
| 2| | 2| \ x / | 2|
\ x / \ x / \ x /
$$x^{x} \left(\log{\left(x \right)} + 1\right)^{2} + \frac{x^{x}}{x} + \frac{6 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)} \operatorname{atan}^{2}{\left(\frac{1}{x} \right)}}{x^{3} \cdot \left(1 + \frac{1}{x^{2}}\right)} + \frac{9 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)}^{2} \operatorname{atan}^{4}{\left(\frac{1}{x} \right)}}{x^{4} \left(1 + \frac{1}{x^{2}}\right)^{2}} + \frac{6 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)} \operatorname{atan}{\left(\frac{1}{x} \right)}}{x^{4} \left(1 + \frac{1}{x^{2}}\right)^{2}} - \frac{6 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)} \operatorname{atan}^{2}{\left(\frac{1}{x} \right)}}{x^{5} \left(1 + \frac{1}{x^{2}}\right)^{2}}$$
3/1\ 3/1\ 3/1\ 3/1\ 3/1\ 3/1\ 3/1\ 3/1\ 3/1\
3/1\ atan |-| atan |-| atan |-| atan |-| atan |-| atan |-| atan |-| atan |-| atan |-|
atan |-| \x/ 3/1\ 2 \x/ 4/1\ 2 \x/ /1\ \x/ 6/1\ 3 \x/ 2/1\ \x/ 2/1\ \x/ /1\ \x/ 2/1\ \x/ 4/1\ 2
x x \x/ 54*4 *atan |-|*log (4) 54*4 *atan |-|*log (4) 36*4 *atan|-|*log(4) 27*4 *atan |-|*log (4) 24*4 *atan |-|*log(4) 18*4 *atan |-|*log(4) 36*4 *atan|-|*log(4) 42*4 *atan |-|*log(4) 54*4 *atan |-|*log (4)
x 3 x 3*x *(1 + log(x)) 6*4 *log(4) \x/ \x/ \x/ \x/ \x/ \x/ \x/ \x/ \x/
x *(1 + log(x)) - -- + ----------------- - ------------------ - ----------------------------- - ----------------------------- - --------------------------- - ----------------------------- - ---------------------------- - ---------------------------- + --------------------------- + ---------------------------- + -----------------------------
2 x 3 3 2 2 3 3 4 / 1 \ 3 2 3
x 6 / 1 \ 6 / 1 \ 5 / 1 \ 5 / 1 \ 6 / 1 \ 8 / 1 \ x *|1 + --| 7 / 1 \ 6 / 1 \ 7 / 1 \
x *|1 + --| x *|1 + --| x *|1 + --| x *|1 + --| x *|1 + --| x *|1 + --| | 2| x *|1 + --| x *|1 + --| x *|1 + --|
| 2| | 2| | 2| | 2| | 2| | 2| \ x / | 2| | 2| | 2|
\ x / \ x / \ x / \ x / \ x / \ x / \ x / \ x / \ x /
$$x^{x} \left(\log{\left(x \right)} + 1\right)^{3} + \frac{3 x^{x} \left(\log{\left(x \right)} + 1\right)}{x} - \frac{x^{x}}{x^{2}} - \frac{18 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)} \operatorname{atan}^{2}{\left(\frac{1}{x} \right)}}{x^{4} \cdot \left(1 + \frac{1}{x^{2}}\right)} - \frac{54 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)}^{2} \operatorname{atan}^{4}{\left(\frac{1}{x} \right)}}{x^{5} \left(1 + \frac{1}{x^{2}}\right)^{2}} - \frac{27 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)}^{3} \operatorname{atan}^{6}{\left(\frac{1}{x} \right)}}{x^{6} \left(1 + \frac{1}{x^{2}}\right)^{3}} - \frac{36 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)} \operatorname{atan}{\left(\frac{1}{x} \right)}}{x^{5} \left(1 + \frac{1}{x^{2}}\right)^{2}} + \frac{42 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)} \operatorname{atan}^{2}{\left(\frac{1}{x} \right)}}{x^{6} \left(1 + \frac{1}{x^{2}}\right)^{2}} - \frac{54 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)}^{2} \operatorname{atan}^{3}{\left(\frac{1}{x} \right)}}{x^{6} \left(1 + \frac{1}{x^{2}}\right)^{3}} + \frac{54 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)}^{2} \operatorname{atan}^{4}{\left(\frac{1}{x} \right)}}{x^{7} \left(1 + \frac{1}{x^{2}}\right)^{3}} - \frac{6 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)}}{x^{6} \left(1 + \frac{1}{x^{2}}\right)^{3}} + \frac{36 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)} \operatorname{atan}{\left(\frac{1}{x} \right)}}{x^{7} \left(1 + \frac{1}{x^{2}}\right)^{3}} - \frac{24 \cdot 4^{\operatorname{atan}^{3}{\left(\frac{1}{x} \right)}} \log{\left(4 \right)} \operatorname{atan}^{2}{\left(\frac{1}{x} \right)}}{x^{8} \left(1 + \frac{1}{x^{2}}\right)^{3}}$$