/ 2\
\x / 4 / 2\
5*5 *acot (x) \x / 5
- ---------------- + 2*x*5 *acot (x)*log(5)
2
1 + x
$$2 \cdot 5^{x^{2}} x \log{\left(5 \right)} \operatorname{acot}^{5}{\left(x \right)} - \frac{5 \cdot 5^{x^{2}} \operatorname{acot}^{4}{\left(x \right)}}{x^{2} + 1}$$
/ 2\
\x / 3 /5*(2 + x*acot(x)) 2 / 2 \ 10*x*acot(x)*log(5)\
2*5 *acot (x)*|----------------- + acot (x)*\1 + 2*x *log(5)/*log(5) - -------------------|
| 2 2 |
| / 2\ 1 + x |
\ \1 + x / /
$$2 \cdot 5^{x^{2}} \left(- \frac{10 x \log{\left(5 \right)} \operatorname{acot}{\left(x \right)}}{x^{2} + 1} + \left(2 x^{2} \log{\left(5 \right)} + 1\right) \log{\left(5 \right)} \operatorname{acot}^{2}{\left(x \right)} + \frac{5 \left(x \operatorname{acot}{\left(x \right)} + 2\right)}{\left(x^{2} + 1\right)^{2}}\right) \operatorname{acot}^{3}{\left(x \right)}$$
/ / 2 2 \ \
| | 2 6 4*x *acot (x) 12*x*acot(x)| |
| 5*|- acot (x) + ------ + ------------- + ------------| |
/ 2\ | | 2 2 2 | 2 / 2 \ |
\x / 2 | \ 1 + x 1 + x 1 + x / 15*acot (x)*\1 + 2*x *log(5)/*log(5) 3 2 / 2 \ 30*x*(2 + x*acot(x))*acot(x)*log(5)|
2*5 *acot (x)*|- ------------------------------------------------------ - ------------------------------------ + 2*x*acot (x)*log (5)*\3 + 2*x *log(5)/ + -----------------------------------|
| 2 2 2 |
| / 2\ 1 + x / 2\ |
\ \1 + x / \1 + x / /
$$2 \cdot 5^{x^{2}} \left(2 x \left(2 x^{2} \log{\left(5 \right)} + 3\right) \log{\left(5 \right)}^{2} \operatorname{acot}^{3}{\left(x \right)} + \frac{30 x \left(x \operatorname{acot}{\left(x \right)} + 2\right) \log{\left(5 \right)} \operatorname{acot}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} - \frac{15 \left(2 x^{2} \log{\left(5 \right)} + 1\right) \log{\left(5 \right)} \operatorname{acot}^{2}{\left(x \right)}}{x^{2} + 1} - \frac{5 \left(\frac{4 x^{2} \operatorname{acot}^{2}{\left(x \right)}}{x^{2} + 1} + \frac{12 x \operatorname{acot}{\left(x \right)}}{x^{2} + 1} - \operatorname{acot}^{2}{\left(x \right)} + \frac{6}{x^{2} + 1}\right)}{\left(x^{2} + 1\right)^{2}}\right) \operatorname{acot}^{2}{\left(x \right)}$$