/ ___ ___ x\
|/ x x\ / _____\ \/ 3 *\/ x *e | / _____\ x
- p*x*|\E + x*e /*atan\\/ 3*x / + --------------| - p*x*atan\\/ 3*x /*e
\ 2*(1 + 3*x) /
$$- p x \left(\frac{\sqrt{3} \sqrt{x} e^{x}}{2 \left(3 x + 1\right)} + \left(e^{x} + x e^{x}\right) \operatorname{atan}{\left(\sqrt{3 x} \right)}\right) - p x e^{x} \operatorname{atan}{\left(\sqrt{3 x} \right)}$$
/ / ___ ___ /1 6 \ \ \
| | \/ 3 *\/ x *|- + -------| ___ | |
| | / _____\ \x 1 + 3*x/ 4*\/ 3 *(1 + x)| |
| x*|4*(2 + x)*atan\\/ 3*x / - ------------------------- + ---------------| |
| | 1 + 3*x ___ | ___ ___|
| / _____\ \ \/ x *(1 + 3*x)/ \/ 3 *\/ x | x
-p*|2*(1 + x)*atan\\/ 3*x / + ------------------------------------------------------------------------- + -----------|*e
\ 4 1 + 3*x /
$$- p \left(\frac{\sqrt{3} \sqrt{x}}{3 x + 1} + \frac{x \left(- \frac{\sqrt{3} \sqrt{x} \left(\frac{6}{3 x + 1} + \frac{1}{x}\right)}{3 x + 1} + 4 \left(x + 2\right) \operatorname{atan}{\left(\sqrt{3 x} \right)} + \frac{4 \sqrt{3} \left(x + 1\right)}{\sqrt{x} \left(3 x + 1\right)}\right)}{4} + 2 \left(x + 1\right) \operatorname{atan}{\left(\sqrt{3 x} \right)}\right) e^{x}$$
/ / ___ ___ /1 24 4 \ \ \
| | 3*\/ 3 *\/ x *|-- + ---------- + -----------| ___ /1 6 \| |
| | | 2 2 x*(1 + 3*x)| ___ 6*\/ 3 *(1 + x)*|- + -------|| |
| | / _____\ \x (1 + 3*x) / 12*\/ 3 *(2 + x) \x 1 + 3*x/| |
| x*|8*(3 + x)*atan\\/ 3*x / + --------------------------------------------- + ---------------- - -----------------------------| ___ ___ /1 6 \|
| | 1 + 3*x ___ ___ | ___ 3*\/ 3 *\/ x *|- + -------||
| / _____\ \ \/ x *(1 + 3*x) \/ x *(1 + 3*x) / 3*\/ 3 *(1 + x) \x 1 + 3*x/| x
-p*|3*(2 + x)*atan\\/ 3*x / + ------------------------------------------------------------------------------------------------------------------------------ + --------------- - ---------------------------|*e
| 8 ___ 4*(1 + 3*x) |
\ \/ x *(1 + 3*x) /
$$- p \left(- \frac{3 \sqrt{3} \sqrt{x} \left(\frac{6}{3 x + 1} + \frac{1}{x}\right)}{4 \left(3 x + 1\right)} + \frac{x \left(\frac{3 \sqrt{3} \sqrt{x} \left(\frac{24}{\left(3 x + 1\right)^{2}} + \frac{4}{x \left(3 x + 1\right)} + \frac{1}{x^{2}}\right)}{3 x + 1} + 8 \left(x + 3\right) \operatorname{atan}{\left(\sqrt{3 x} \right)} - \frac{6 \sqrt{3} \left(x + 1\right) \left(\frac{6}{3 x + 1} + \frac{1}{x}\right)}{\sqrt{x} \left(3 x + 1\right)} + \frac{12 \sqrt{3} \left(x + 2\right)}{\sqrt{x} \left(3 x + 1\right)}\right)}{8} + 3 \left(x + 2\right) \operatorname{atan}{\left(\sqrt{3 x} \right)} + \frac{3 \sqrt{3} \left(x + 1\right)}{\sqrt{x} \left(3 x + 1\right)}\right) e^{x}$$