4
3 2 14*(x - 7) *acot(7*x)
4*(x - 7) *acot (7*x) - ---------------------
2
1 + 49*x
$$- \frac{14 \left(x - 7\right)^{4} \operatorname{acot}{\left(7 x \right)}}{49 x^{2} + 1} + 4 \left(x - 7\right)^{3} \operatorname{acot}^{2}{\left(7 x \right)}$$
/ 2 \
2 | 2 56*(-7 + x)*acot(7*x) 49*(-7 + x) *(1 + 14*x*acot(7*x))|
2*(-7 + x) *|6*acot (7*x) - --------------------- + ---------------------------------|
| 2 2 |
| 1 + 49*x / 2\ |
\ \1 + 49*x / /
$$2 \left(x - 7\right)^{2} \left(\frac{49 \left(x - 7\right)^{2} \left(14 x \operatorname{acot}{\left(7 x \right)} + 1\right)}{\left(49 x^{2} + 1\right)^{2}} - \frac{56 \left(x - 7\right) \operatorname{acot}{\left(7 x \right)}}{49 x^{2} + 1} + 6 \operatorname{acot}^{2}{\left(7 x \right)}\right)$$
/ / 2 \ \
| 3 | 21*x 196*x *acot(7*x)| |
| 343*(-7 + x) *|-acot(7*x) + --------- + ----------------| |
| | 2 2 | 2 |
| 2 \ 1 + 49*x 1 + 49*x / 126*(-7 + x)*acot(7*x) 294*(-7 + x) *(1 + 14*x*acot(7*x))|
4*(-7 + x)*|6*acot (7*x) - --------------------------------------------------------- - ---------------------- + ----------------------------------|
| 2 2 2 |
| / 2\ 1 + 49*x / 2\ |
\ \1 + 49*x / \1 + 49*x / /
$$4 \left(x - 7\right) \left(- \frac{343 \left(x - 7\right)^{3} \left(\frac{196 x^{2} \operatorname{acot}{\left(7 x \right)}}{49 x^{2} + 1} + \frac{21 x}{49 x^{2} + 1} - \operatorname{acot}{\left(7 x \right)}\right)}{\left(49 x^{2} + 1\right)^{2}} + \frac{294 \left(x - 7\right)^{2} \left(14 x \operatorname{acot}{\left(7 x \right)} + 1\right)}{\left(49 x^{2} + 1\right)^{2}} - \frac{126 \left(x - 7\right) \operatorname{acot}{\left(7 x \right)}}{49 x^{2} + 1} + 6 \operatorname{acot}^{2}{\left(7 x \right)}\right)$$