3

Click here to load reader

Chapter 18_Integration_X€¦  · Web viewChapter 18B | p. 448 Antidifferentiation Antidifferentiation – the process of finding f(x) from f’(x) is the reverse process of differentiation

Embed Size (px)

Citation preview

Page 1: Chapter 18_Integration_X€¦  · Web viewChapter 18B | p. 448 Antidifferentiation Antidifferentiation – the process of finding f(x) from f’(x) is the reverse process of differentiation

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

Page 2: Chapter 18_Integration_X€¦  · Web viewChapter 18B | p. 448 Antidifferentiation Antidifferentiation – the process of finding f(x) from f’(x) is the reverse process of differentiation

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’