Techniques of Integration by David Guichard
Techniques of Integration - Table of Contents
1. Substitution
2. Powers of Sine and Cosine
3. Trigonometric Substitutions
4. Integration by Parts
5. Rational Functions
6. Numerical Integration
7. Additional Exercises
What You Will Learn in Techniques of Integration
"Techniques of Integration" by Whitman College is a clear and practical guide for students learning "integration methods" in calculus. It focuses on teaching essential techniques for solving "antiderivatives" and evaluating a wide range of integrals. The material is structured to move from simpler to more advanced methods, helping learners build confidence in applying the concepts.
The guide covers fundamental approaches like "substitution", "integration by parts", and handling "trigonometric functions". It also includes strategies for rational functions, powers of sine and cosine, and "trigonometric substitutions", providing step-by-step examples and exercises. This hands-on approach allows students to practice different techniques, understand when each method is appropriate, and avoid common mistakes while solving integrals.
Ideal for self-study or classroom use, this resource emphasizes both theory and application. It strengthens problem-solving skills, making it easier to tackle complex integrals in exams or practical assignments. With its organized structure, practical examples, and emphasis on "applied calculus", Whitman College’s guide helps students master the key integration techniques needed for success in single-variable calculus courses. Overall, it is a concise and student-friendly resource for mastering "integration methods" effectively.
Book Details & Specifications
Title:
Techniques of Integration by David Guichard
Publisher:
Whitman College
Year:
2000
Pages:
26
Type:
PDF
Language:
English
ISBN-10 #:
6202068426
ISBN-13 #:
978-6202068420
License:
University Educational Resource
Amazon:
Amazon
About the Author: Whitman College
The author
Whitman College
is a professor at "Whitman College", USA, with a "Ph.D. in Mathematics from the University of Wisconsin". He specializes in "calculus", graph theory, and "mathematics education", creating structured and accessible learning resources for students. His expertise includes "integration techniques", "differential calculus", and applied problem solving. Guichard’s "Techniques of Integration" focuses on substitution, integration by parts, and trigonometric methods, guiding learners through clear, step-by-step explanations. His work emphasizes practical understanding and helps students build strong skills in "integral calculus" and core mathematical problem-solving.
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