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Guide to Integration

Guide to Integration

Guide to Integration

This note covers the following topics: Elementary Integrals, Substitution, Trigonometric integrals, Integration by parts, Trigonometric substitutions, Partial Fractions.

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s96 Pages
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Guide to Integration

Guide to Integration

This note covers the following topics: Elementary Integrals, Substitution, Trigonometric integrals, Integration by parts, Trigonometric substitutions, Partial Fractions.

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The Integration of Functions of a Single Variable

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.

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Integration Theory Lecture notes

Integration Theory Lecture notes

This note introduces the concepts of measures, measurable functions and Lebesgue integrals. Topics covered includes: Measurable functions / random variables , Dynkinís Lemma and the Uniqueness Theorem, Borel-Cantelliís First Lemma, Independent random variables, Kolmogorovís 0-1-law, Integration of nonnegative functions , Jordan-Hahn Decompositions, The Lebesgue-Radon-Nikodym Theorem, The law of large numbers.

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Integral Calculus Made Easy

Integral Calculus Made Easy

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.

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Course Material for Analysis III Integration

Course Material for Analysis III Integration

In these lectures we define a simple integral and study its properties; prove the Mean Value Theorem for Integrals and the Fundamental Theorem of Calculus. This gives us the tools to justify term-by-term differentiation of power series and deduce the elementary properties of the trigonometric functions.

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A treatise on the integral calculus; with applications, examples and problems

A treatise on the integral calculus; with applications, examples and problems

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Differential and integral calculus

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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.

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