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Lecture Notes for Integration
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 book contains below topics, Functions and Graphs, Limits, Derivatives, Applications of Derivatives, Integration, Applications of Integration, Table of Integrals, Table of Derivatives, Review of PreCalculus.
Author(s): Gilbert Strang and Edwin Jed Herman, OpenStax
873 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
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.
Author(s): Deepak Bhardwaj
NA 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 students 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