3 2
1 - log (x) - 3*log (x)
--------- + ---------------------
3 6
x*log (x) x*log (x)
$$\frac{1}{x \log{\left(x \right)}^{3}} + \frac{- \log{\left(x \right)}^{3} - 3 \log{\left(x \right)}^{2}}{x \log{\left(x \right)}^{6}}$$
/ 3 \ 3*(2 + log(x)) 3*(3 + log(x))
-3 - log(x) + |1 + ------|*(3 + log(x)) - -------------- + --------------
\ log(x)/ log(x) log(x)
-------------------------------------------------------------------------
2 4
x *log (x)
$$\frac{\left(1 + \frac{3}{\log{\left(x \right)}}\right) \left(\log{\left(x \right)} + 3\right) - \frac{3 \left(\log{\left(x \right)} + 2\right)}{\log{\left(x \right)}} + \frac{3 \left(\log{\left(x \right)} + 3\right)}{\log{\left(x \right)}} - \log{\left(x \right)} - 3}{x^{2} \log{\left(x \right)}^{4}}$$
/ 3 \ / 3 \
/ 2 \ 3*|1 + ------|*(3 + log(x)) 3*|1 + ------|*(2 + log(x))
/ 9 12 \ 21*(3 + log(x)) 6*(3 + log(x)) / 3 \ 3*\-2 + log (x)/ 27*(2 + log(x)) \ log(x)/ \ log(x)/
- (3 + log(x))*|2 + ------ + -------| - --------------- - -------------- + 2*|1 + ------|*(3 + log(x)) + ---------------- + --------------- - --------------------------- + ---------------------------
| log(x) 2 | 2 log(x) \ log(x)/ 2 2 log(x) log(x)
\ log (x)/ log (x) log (x) log (x)
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
3 4
x *log (x)
$$\frac{\frac{3 \left(1 + \frac{3}{\log{\left(x \right)}}\right) \left(\log{\left(x \right)} + 2\right)}{\log{\left(x \right)}} + 2 \left(1 + \frac{3}{\log{\left(x \right)}}\right) \left(\log{\left(x \right)} + 3\right) - \frac{3 \left(1 + \frac{3}{\log{\left(x \right)}}\right) \left(\log{\left(x \right)} + 3\right)}{\log{\left(x \right)}} + \frac{27 \left(\log{\left(x \right)} + 2\right)}{\log{\left(x \right)}^{2}} - \left(\log{\left(x \right)} + 3\right) \left(2 + \frac{9}{\log{\left(x \right)}} + \frac{12}{\log{\left(x \right)}^{2}}\right) - \frac{6 \left(\log{\left(x \right)} + 3\right)}{\log{\left(x \right)}} - \frac{21 \left(\log{\left(x \right)} + 3\right)}{\log{\left(x \right)}^{2}} + \frac{3 \left(\log{\left(x \right)}^{2} - 2\right)}{\log{\left(x \right)}^{2}}}{x^{3} \log{\left(x \right)}^{4}}$$