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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 
Integral Calculus Miguel A. Lerma
The contents of this book include: Integrals, Applications of Integration, Differential Equations, Infinite Sequences and Series, Hyperbolic Functions, Various Formulas, Table of Integrals.
Author(s): Miguel A. Lerma
120 Pages
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
Integration Theory Lecture notes
This note introduces the concepts of measures, measurable functions and Lebesgue integrals. Topics covered includes: Measurable functions / random variables , Dynkin’s Lemma and the Uniqueness Theorem, Borel-Cantelli’s First Lemma, Independent random variables, Kolmogorov’s 0-1-law, Integration of nonnegative functions , Jordan-Hahn Decompositions, The Lebesgue-Radon-Nikodym Theorem, The law of large numbers.
Author(s): Johan Jonasson
71 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