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Calculus II

MAC2312

Table of Contents

Chapter 5

Integrals

Section 5.3 Fundamental Theorem of Calculus
Section 5.4 Indefinite Integrals & the Net Change Theorem
Section 5.5 Substitution Rule

Chapter 6

Applications of Integration

Section 6.1 Area
Section 6.2 Volumes of Solids of Rotation: Disk & Washer Methods
Section 6.3 Volumes of Solids of Rotation: Cylindrical Shells Method
Section 6.4 Work (Physics)
Section 6.5 Average Value of a Function

Chapter 7

Integration Techniques

Section 7.1 Integration by Parts
Section 7.2 Trigonometric Integrals
Section 7.3 Trigonometric Substitution
Section 7.4 Partial Fraction Decomposition
Section 7.5 Integration Strategy
Section 7.7 Numeric Integration (Trapezoid Rule, Simpson's Rule)
Section 7.8 Improper Integrals
- Basics
- Integration Techniques & Behavior of Common Functions

Chapter 11

Infinite Sequences & Series

Section 11.1 Sequences
Section 11.2 Series
Section 11.3 Integral Test & Estimates of Sums



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