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Calculus Series - Concepts and Formulas
Integration Techniques 2, Integration Applications 1 (CLS-CF6)

This sheet provides a comprehensive review of all of the most important topics, concepts and formula covering integration techniques and applications of integration. Each concept is explained in detail, with detailed illustrations. Unlike charts and notes, this Concepts and Formulas sheet answers questions about how to use the concepts - how to actually solve problems with them, it doesn't just list facts and formulas. There is even an example, or two, for each concept, to help you to nail down the central ideas.

Topics Covered:

• Approximate integration
• The Trapezoidal Rule
• The nth Trapezoidal rule error
• Simpson's rule
• The nth Simpson's rule error
• Improper integrals
• Volumes of solid regions by cross-sections
• Volumes of solids of revolution by the disc
• The washer and shell methods
• Work
• Hooke's Law
• The restoring force
• The spring constant

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