Integration by Mathtutor
Mathtutor Integration - Table of Contents
1. Integration as Summation
2. Integration as the Reverse of Differentiation
3. Integration using a Table of Anti-derivatives
4. Integration by Parts
5. Integration by Substitution
6. Integrating Algebraic Fractions (1)
7. Integrating Algebraic Fractions (2)
8. Integration using Trigonometric Formulae
9. Finding Areas by Integration
10. Volumes of Solids of Revolution
11. Integration Leading to Log Functions
What You Will Learn in Mathtutor Integration
"Integration by Mathtutor" is a practical online learning resource that helps students master "integration" in calculus. Designed for high school and early university learners, it covers core concepts in a clear, structured way, making challenging topics accessible. The material emphasizes understanding the "Fundamental Theorem of Calculus" and how integration relates to differentiation, helping students see the bigger picture in solving real mathematical problems.
The resource teaches a wide range of "integration techniques", including substitution, integration by parts, and trigonometric and algebraic methods. It also explains how to apply integration to compute "areas under curves", volumes of solids of revolution, and other practical applications. Examples, exercises, and step-by-step explanations guide learners through each concept, reinforcing their problem-solving skills and building confidence in performing calculations accurately.
Mathtutor integrates "practice exercises" and self-assessment tools to support active learning. Students can check their understanding as they progress, making it ideal for both self-study and classroom use. By combining theoretical explanations, worked examples, and applied exercises, Mathtutor provides a comprehensive approach to learning "integration". Overall, it is a highly effective, student-friendly resource for developing strong calculus foundations and mastering essential "integration techniques" in a structured, approachable format.
Book Details & Specifications
Title:
Integration by Mathtutor
Publisher:
Math Tutor
Year:
2000
Pages:
350
Type:
PDF
Language:
English
ISBN-10 #:
1480125504
ISBN-13 #:
978-1480125506
License:
External Educational Resource
Amazon:
Amazon
About the Author: Mathtutor
The author
Mathtutor
is an educational platform created by a team of teachers, mathematicians, and media specialists from UK universities. It provides high-quality resources to help students understand "mathematics", focusing on core topics like "integration", differentiation, and algebra in a clear, structured way. The team’s expertise includes "math education", tutorial development, and creating interactive learning materials. Mathtutor offers step-by-step explanations, video guides, and practice exercises to help learners build strong "problem-solving skills". Its resources are designed to support students transitioning from school to university-level mathematics, making advanced topics accessible and practical.
Read or Downloadable Mathtutor Integration
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