Chapter 4.1 - Antiderivatives and Indefinite Integration

Objectives:

• Write the general solution of a differential equation.
• Use indefinite integral notation for antiderivatives.
• Use basic integration rules to find antiderivatives.
• Find a particular solution of a differential equation.

Antiderivatives pt1 (for Day #29 lesson)

Just as the name implies, we're reversing the derivation process. Simple in concept, takes some practice to master. Some of the common pitfalls are highlighted in these exercises.

Antiderivatives pt2 (first video for Day #31 lesson)

Antideriving a function involving trigonometric expressions. Also, finding the function y given info about the first and second derivatives.

Antiderivatives pt3 -- Freefall motion (second video for Day #31 lesson)

Using antidifferentiating, or indefinite integration, to solve freefall motion exercises.

Ch 4.1 Test topics and format

Multiple Choice

• 20 questions (skip up to 5 with no penalty, except for optimization)

Free Response

• 6 questions
• Derivatives with ugly algebra
• Existence Theorems (IVT, EVT, MVT, Rolle's)
• Extrema tests
• Analyzing f' graphs
• Inflection/concavity
• Optimization
• Antidifferentiation (start of...)