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MATH 020 (11)
Jun Yu (11)
Lecture

# Lecture 2: 7.1 Integration

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School
University of Vermont
Department
Mathematics
Course
MATH 020
Professor
Jun Yu
Semester
Summer

Description
9/28/13 Chapter 7 7.1 Integration  Anti-derivative- if , then F(x) is an anti-derivative of f(x) o If F(x) and G(x) are both anti-derivatives of f(x), then there is a constant C, such that  Indefinite integral- The family of all anti-derivatives of f(x) o Denoted as: dx=F(x)+C Includes family (b/c 2x+3 & 2x-6  Techniques Like ( )’s are both possible) 1. Power Rule- for any real number  ∫  Ex. Find an anti-derivative of C is not necessary because only asked to find 1 single anti-derivative, not the family (Can check answer by taking the anti-derivative) 2. Term by term- if the function is a linear combination :  ∫ ∫  ∫
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