Chapter 7 - Integration Techniques - 7.6 Other Integration Strategies - 7.6 Exercises - Page 555: 5

$$x{\cos ^{ - 1}}x - \sqrt {1 - {x^2}} + C$$

$$\eqalign{ & \int {{{\cos }^{ - 1}}x} dx \cr & {\text{A matching integral in a table of integrals at the end of the book is the }} \cr & {\text{formula }}17 \cr & \int {{{\cos }^{ - 1}}x} dx = x{\cos ^{ - 1}}x - \sqrt {1 - {x^2}} + C \cr} $$