Chapter 8 - Techniques of Integration - 8.4 Integrals Involving Hyperbolic and Inverse Hyperbolic Functions - Exercises - Page 415: 24

$$\operatorname{coth}^{-1}(5)-\operatorname{coth}^{-1}(4)$$

\begin{aligned} \int_{4}^{5} \frac{1}{\left(1-x^{2}\right)} d x &=\left.\operatorname{coth}^{-1} x\right|_{4} ^{5} \\ &=\operatorname{coth}^{-1}(5)-\operatorname{coth}^{-1}(4) \end{aligned}