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Chapter 18 | IntegrationChapter 18B | p. 448
Antidifferentiation Antidifferentiation – the process of finding f(x) from f’(x) is the reverse
process of differentiation ignore constant
Chapter 18C | p. 449
The Fundamental Theorem of Calculus|∫a
b
f (x )dx| Definite integral – integral defined by boundaries If f(x) < 0 , add a negative to the answer or take the absolute value
Chapter 18D | p. 454
Integration Basically finding the antiderivative but including constant “C” to account for
multiple possible constants on the end Indefinite integration - not being applied to a particular interval
Integration Rules
Any coefficients can be written in front of the Integral sign
Integral is sum of separate integrals
Integrand – FUNCTION WE ORIGINALLY INTEGRATEDChapter 18E | p. 457
Chapter 18 | Integration
Rules for Integration
Chapter 18F | p. 462
Integrating f (ax + b)
Chapter 18G | p. 465
Integration by Substitution You can write a function as a product of another function u and u’