Unit 4

Intro

Integration is an important process of calculus that is closely related to differentiation. There are methods and rules for solving definite and indefinite integrals, including the Fundamental Theorem of Calculus. These rules can be applied to find such things as the position function for an object and the average value of a function.

Podcast (coming soon)

4.1 Indefinite Integrals

    • Notation
    • Basic Rules
    • Long Division
    • Completing the Square

4.1.6 Integration of Vector-Valued Functions**

4.2 Differential Equations

    • Verifying Solutions
    • Finding General Solutions Using Separation of Variables
    • Particular Solutions using Initial Conditions

    • Sketching Slope Fields
    • Reasoning with Slope Fields

4.2.3 Euler's Method**

    • Approximating Solutions

4.3 Definite Integrals and Accumulation of Change

    • Summation Notation

    • Accumulation Functions
    • Connecting Area to Accumulation Functions

4.3.3 Definite Integrals

    • Properties

Prerequisite Understanding