Chapter 7 - Integration Techniques - 7.6 Other Integration Strategies - 7.6 Exercises - Page 555: 50

$$\frac{{\frac{{at}}{{{a^2} - {t^2}}} + {{\tanh }^{ - 1}}\left( {\frac{t}{a}} \right)}}{{2{a^3}}} + C$$

$$\eqalign{ & \int {{{\left( {{a^2} - {t^2}} \right)}^{ - 2}}} dt \cr & {\text{Integrate using a computer algebra system as the book says}} \cr & {\text{Using wolfram alpha we obtain:}} \cr} $$