Originally published in 1926, this book was written to provide mathematical and scientific students with an introduction to the subject of integral calculus. The text was largely planned around the syllabus for the Higher Certificate Examination. A short historical survey is included. This book will be of value to anyone with an interest in integral calculus, mathematics and the history of education.
Preface; Historical sketch; 1. Definitions and standard forms; 2. Integration by substitution, or changing the subject of integration; 3. Integration by parts; 4. Rational algebraic fractions; 5. Trigonometrical integrals and formulae of reduction; 6. The fundamental 'inversion theorem'. Application of calculus to finding of areas; 7. Further applications to geometry: sectorial areas, volumes of revolution, finding the length of a curve; 8. Application to problem of finding centres of gravity; 9. Further applications to mechanics. Rigid dynamics; 10. Differential equations. A few types; Answers to examples.