7 2
6 3 21*(x - 5) *acot (7*x)
7*(x - 5) *acot (7*x) - ----------------------
2
1 + 49*x
$$- \frac{21 \left(x - 5\right)^{7} \operatorname{acot}^{2}{\left(7 x \right)}}{49 x^{2} + 1} + 7 \left(x - 5\right)^{6} \operatorname{acot}^{3}{\left(7 x \right)}$$
/ 2 \
5 | 2 7*(-5 + x)*acot(7*x) 7*(-5 + x) *(1 + 7*x*acot(7*x))|
42*(-5 + x) *|acot (7*x) - -------------------- + -------------------------------|*acot(7*x)
| 2 2 |
| 1 + 49*x / 2\ |
\ \1 + 49*x / /
$$42 \left(x - 5\right)^{5} \left(\frac{7 \left(x - 5\right)^{2} \left(7 x \operatorname{acot}{\left(7 x \right)} + 1\right)}{\left(49 x^{2} + 1\right)^{2}} - \frac{7 \left(x - 5\right) \operatorname{acot}{\left(7 x \right)}}{49 x^{2} + 1} + \operatorname{acot}^{2}{\left(7 x \right)}\right) \operatorname{acot}{\left(7 x \right)}$$
/ / 2 2 \ \
| 3 | 1 2 42*x*acot(7*x) 196*x *acot (7*x)| |
| 49*(-5 + x) *|--------- - acot (7*x) + -------------- + -----------------| |
| 2 | 2 2 2 | 2 |
4 | 3 63*acot (7*x)*(-5 + x) \1 + 49*x 1 + 49*x 1 + 49*x / 147*(-5 + x) *(1 + 7*x*acot(7*x))*acot(7*x)|
42*(-5 + x) *|5*acot (7*x) - ---------------------- - -------------------------------------------------------------------------- + -------------------------------------------|
| 2 2 2 |
| 1 + 49*x / 2\ / 2\ |
\ \1 + 49*x / \1 + 49*x / /
$$42 \left(x - 5\right)^{4} \left(- \frac{49 \left(x - 5\right)^{3} \left(\frac{196 x^{2} \operatorname{acot}^{2}{\left(7 x \right)}}{49 x^{2} + 1} + \frac{42 x \operatorname{acot}{\left(7 x \right)}}{49 x^{2} + 1} - \operatorname{acot}^{2}{\left(7 x \right)} + \frac{1}{49 x^{2} + 1}\right)}{\left(49 x^{2} + 1\right)^{2}} + \frac{147 \left(x - 5\right)^{2} \left(7 x \operatorname{acot}{\left(7 x \right)} + 1\right) \operatorname{acot}{\left(7 x \right)}}{\left(49 x^{2} + 1\right)^{2}} - \frac{63 \left(x - 5\right) \operatorname{acot}^{2}{\left(7 x \right)}}{49 x^{2} + 1} + 5 \operatorname{acot}^{3}{\left(7 x \right)}\right)$$