2
atan (4*x + 1)
8*3 *atan(4*x + 1)*log(3)
--------------------------------------
2
1 + (4*x + 1)
$$\frac{8 \cdot 3^{\operatorname{atan}^{2}{\left(4 x + 1 \right)}} \log{\left(3 \right)} \operatorname{atan}{\left(4 x + 1 \right)}}{\left(4 x + 1\right)^{2} + 1}$$
2
atan (1 + 4*x) / 2 \
32*3 *\1 - 2*(1 + 4*x)*atan(1 + 4*x) + 2*atan (1 + 4*x)*log(3)/*log(3)
-----------------------------------------------------------------------------------
2
/ 2\
\1 + (1 + 4*x) /
$$\frac{32 \cdot 3^{\operatorname{atan}^{2}{\left(4 x + 1 \right)}} \left(- 2 \cdot \left(4 x + 1\right) \operatorname{atan}{\left(4 x + 1 \right)} + 2 \log{\left(3 \right)} \operatorname{atan}^{2}{\left(4 x + 1 \right)} + 1\right) \log{\left(3 \right)}}{\left(\left(4 x + 1\right)^{2} + 1\right)^{2}}$$
2 / 3 2 2 2 \
atan (1 + 4*x) | 3*(1 + 4*x) 2*atan (1 + 4*x)*log (3) 3*atan(1 + 4*x)*log(3) 4*(1 + 4*x) *atan(1 + 4*x) 6*atan (1 + 4*x)*(1 + 4*x)*log(3)|
256*3 *|-atan(1 + 4*x) - -------------- + ------------------------ + ---------------------- + -------------------------- - ---------------------------------|*log(3)
| 2 2 2 2 2 |
\ 1 + (1 + 4*x) 1 + (1 + 4*x) 1 + (1 + 4*x) 1 + (1 + 4*x) 1 + (1 + 4*x) /
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2
/ 2\
\1 + (1 + 4*x) /
$$\frac{256 \cdot 3^{\operatorname{atan}^{2}{\left(4 x + 1 \right)}} \left(\frac{4 \left(4 x + 1\right)^{2} \operatorname{atan}{\left(4 x + 1 \right)}}{\left(4 x + 1\right)^{2} + 1} - \frac{6 \cdot \left(4 x + 1\right) \log{\left(3 \right)} \operatorname{atan}^{2}{\left(4 x + 1 \right)}}{\left(4 x + 1\right)^{2} + 1} + \frac{2 \log{\left(3 \right)}^{2} \operatorname{atan}^{3}{\left(4 x + 1 \right)}}{\left(4 x + 1\right)^{2} + 1} - \operatorname{atan}{\left(4 x + 1 \right)} - \frac{3 \cdot \left(4 x + 1\right)}{\left(4 x + 1\right)^{2} + 1} + \frac{3 \log{\left(3 \right)} \operatorname{atan}{\left(4 x + 1 \right)}}{\left(4 x + 1\right)^{2} + 1}\right) \log{\left(3 \right)}}{\left(\left(4 x + 1\right)^{2} + 1\right)^{2}}$$