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Lecture

5.4 Integration & Anti-derivatives Indefinite Integrals: Overview

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
5.4 Integration & Anti-derivatives Indefinite Integrals: Overview Indefinite Integral - The notation ∫ ( ) can be used to express the anti-derivative of , where the relationship is established from the Fundamental Theorem of Calculus Part 1. - It represents the entire family of functions whose derivative is . - Therefore, the general indefinite integral includes the arbitrary constant factorat the end. Definite Integral - Based on the Fundamental Theorem of Calculus Part 2, definite integral can be numerially evaluated over the interval ]where ∫ ( ) ( ) ( ). - This represents the net change in ( ) where the function can go in both directions. - Therefore, this is also called the integral of the rate of change, also known as the Net Change
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