Indefinite Integrals

About the Book

The most difficult part of calculus for many students is the study of methods of integration and the solution of indefinite integrals. Differentiation of functions is, on the whole, not difficult. This book contains the worked solutions to 200 integrals and may be used as a supplement to any standard calculus text.

An index to the integrands is provided in chapter 3, referring the reader directly to worked solutions in chapter 4. Although it is impossible to cover all cases, the integrals have been selected to cover a range of problems likely to be found in junior college and senior high school examination papers. Definite integrals are not included since the proper solution to a definite integral depends on the limits of integration and the presence of discontinuities.

The integrands include algebraic, trigonometric, logarithmic and hyperbolic functions.

This book may be used by both teachers and students. Teachers will be able to select examination problems of varying degrees of difficulty. When used by a student, an honest attempt should be made to solve the problem before consulting the index and worked solution. It is hoped the student will develop responsible habits in this regard.

About the Author

Kevin Goodson was born in Australia and received his primary education at high schools in Melbourne. He served in the Pacific in World War II and subsequently completed his Master's degree in Electrical Engineering at the University of Santa Clara in California. He retired in 1988 after being employed by Lockheed Missiles and Space Company for 22 years in the Missiles Systems Division. His home is in Palo Alto, California.