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This note covers the following topics: Elementary Integrals, Substitution, Trigonometric integrals, Integration by parts, Trigonometric substitutions, Partial Fractions.
Author(s): Mark MacLean and Andrew Rechnitzer
96 Pages
The Integration of Functions of a Single Variable
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.
Author(s): G. H. Hardy
NA Pages
Aim of this lecture note is to develop an understanding of the statements of the theorems and how to apply them carefully. Major topics covered are: Measure spaces, Outer measure, null set, measurable set, The Cantor set, Lebesgue measure on the real line, Counting measure, Probability measures, Construction of a non-measurable set , Measurable function, simple function, integrable function, Reconciliation with the integral introduced in Prelims, Simple comparison theorem, Theorems of Fubini and Tonelli.
Author(s): Z. Qian and Alison Etheridge
NA Pages
This lecture note explains the following topics: The integral: properties and construction, Function spaces, Probability, Random walk and martingales, Radon integrals.
Author(s): William G. Faris
72 Pages
A treatise on the integral calculus; with applications, examples and problems
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 general.
Author(s): Joseph Edwards
946 Pages
Differential and integral calculus
This 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.
Author(s): Clyde E Love, Earl David Rainville
369 Pages
Notes on Calculus Integral Calculus (PDF 120P)
This is useful notes for integral calculus. This notes contain Integrals, Applications of Integration, Differential Equations, Infinite sequences and series and Application of Taylor polynomials.
Author(s): Miguel A. Lerma
120 Pages
Lecture Notes on Integral Calculus (PDF 49P)
This lecture notes is really good for studying integral calculus, this note contains the following subcategories Sigma Sum, The De nite Integrals and the Fundamental Theorem, Applications of Definite Integrals, Differentials, The Chain Rule in Terms of Differentials, The Product Rule in Terms of Differentials, Integration by Substitution, Integration by Partial Fractions, Applications of Integrals, Elementary integrals and Hyperbolic Functions
Author(s): Yue-Xian Li
49 Pages
