___ ___
\/ x \/ x
4*10 10 *acot(4*x)*log(10)
- --------- + -------------------------
2 ___
1 + 16*x 2*\/ x
$$\frac{10^{\sqrt{x}} \log{\left(10 \right)} \operatorname{acot}{\left(4 x \right)}}{2 \sqrt{x}} - \frac{4 \cdot 10^{\sqrt{x}}}{16 x^{2} + 1}$$
/ / 1 log(10)\ \
| |- ---- + -------|*acot(4*x)*log(10)|
___ | | 3/2 x | |
\/ x | 128*x 4*log(10) \ x / |
10 *|------------ - ----------------- + ------------------------------------|
| 2 ___ / 2\ 4 |
|/ 2\ \/ x *\1 + 16*x / |
\\1 + 16*x / /
$$10^{\sqrt{x}} \left(\frac{\left(\frac{\log{\left(10 \right)}}{x} - \frac{1}{x^{\frac{3}{2}}}\right) \log{\left(10 \right)} \operatorname{acot}{\left(4 x \right)}}{4} + \frac{128 x}{\left(16 x^{2} + 1\right)^{2}} - \frac{4 \log{\left(10 \right)}}{\sqrt{x} \left(16 x^{2} + 1\right)}\right)$$
/ / 2 \ / 2 \ \
| | 64*x | / 1 log(10)\ | 3 log (10) 3*log(10)| |
| 128*|-1 + ---------| 3*|- ---- + -------|*log(10) |---- + -------- - ---------|*acot(4*x)*log(10)|
___ | | 2| | 3/2 x | ___ | 5/2 3/2 2 | |
\/ x | \ 1 + 16*x / \ x / 192*\/ x *log(10) \x x x / |
10 *|- -------------------- - ---------------------------- + ----------------- + -----------------------------------------------|
| 2 2 2 8 |
| / 2\ 1 + 16*x / 2\ |
\ \1 + 16*x / \1 + 16*x / /
$$10^{\sqrt{x}} \left(\frac{\left(- \frac{3 \log{\left(10 \right)}}{x^{2}} + \frac{\log{\left(10 \right)}^{2}}{x^{\frac{3}{2}}} + \frac{3}{x^{\frac{5}{2}}}\right) \log{\left(10 \right)} \operatorname{acot}{\left(4 x \right)}}{8} - \frac{3 \left(\frac{\log{\left(10 \right)}}{x} - \frac{1}{x^{\frac{3}{2}}}\right) \log{\left(10 \right)}}{16 x^{2} + 1} + \frac{192 \sqrt{x} \log{\left(10 \right)}}{\left(16 x^{2} + 1\right)^{2}} - \frac{128 \cdot \left(\frac{64 x^{2}}{16 x^{2} + 1} - 1\right)}{\left(16 x^{2} + 1\right)^{2}}\right)$$