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