Antoniou S.M. Integrals of Functions of a Real Variable: Volume 1. The Indefinite Integral

Corinth: Independently published, 2023. - 940 p.This book is an attempt to systematize the methods of integration of functions of a real variable. The book is mainly addressed to the student who wishes an in depth knowledge of integration techniques. We have tried to include the following:Good Taxonomy.
Explicit Calculations.
Easy to remember tricks.
Modern Information Technology Tools, like Computer Algebra Systems (Symbolic Languages).
Modern Algorithms.The book can be used both as a learning tool and as a reference of methods, techniques and formulas.Preface.
About the author.
Bibliography.
Definition and Properties of the Indefinite Integral.
Elementary Examples of Integration.
The Method of Substitution.
Integration by Parts.
Integrals of Polynomial Functions.
Integrals of Rational Functions.
Integrals of Exponential Functions.
Integrals of Logarithmic Functions.
Integrals of Trigonometric Functions.
Integrals of Hyperbolic Functions.
Integrals of Irrational Functions.
Integrals of Inverse Trigonometric Functions.
Integrals of Inverse Hyperbolic Functions.
Elliptic Integrals.
The Risch Algorithm.
The Adamchik-Marichev Algorithm.
Index.True PDF