This book describes the following
topics: Elementary functions and their classification, The integration of
elementary functions, The integration of rational functions, The integration of
algebraical functions and The integration of transcendental functions.
This book covers the following
topics: Fundamental integration formulae, Integration by substitution,
Integration by parts, Integration by partial fractions, Definite Integration as
the limit of a sum, Properties of definite Integrals, differential equations and
Homogeneous differential equations.
This book describes the following topics: Standard Forms, Change Of The
Independent Variable,Integration by parts and powers of Sines and cosines,
Rational Algebraic Fractional Forms, Reduction Formulae, General
Theorems, Differentiation Of a definite Integral with regard to a parameter,
Rectification Of Twisted Curves, Moving Curves, Surfaces and volumes in
book consist as a first course in the calculus. In the treatment of each topic,
the text is intended to contain a precise statement of the fundamental principle
involved, and to insure the student's clear understanding of this principle,,
without districting his attention by the discussion of a multitude of details.