Calculus: Antiderivatives. Antiderivatives of constant functions, power functions, cosine functions, sine functions, natural exponential functions, root functions, some rational functions, and inverse trigonometric functions; the antiderivative of 1/x. The constant multiple rule for antiderivatives; the sum rule for antiderivatives. Determining the constants in an antiderivative. Finding the position function from the velocity function
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TABLE OF CONTENTS
VIDEO (1)
Algebra
Derivatives
Antiderivatives
Antiderivatives of constant functions
Antiderivatives of power functions
The constant multiple rule for antiderivatives
The sum rule for antiderivatives
The antiderivative of 1/x
Antiderivatives of cosine and sine
Antiderivative of the natural exponential function (e^x)
Summary of antiderivatives so far
VIDEO (2)
Review
Determining the constants
Finding the position function from the velocity function
VIDEO (3)
0:00 Review
6:30 Determining the constants
37:00 Finding the position function from the velocity function
41:10 Antiderivative of 1/x^n
48:50 Taking exponents on a calculator
56:20 Antiderivatives of root functions
1:03:40 Antiderivatives of some rational functions
1:23:00 Antiderivatives of inverse trig functions
1:34:10 Another way that antiderivative problems can be phrased
VIDEO (4)
Homework review
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