The Derivative of the Natural Log Function and the Log Rule for Integration
The Derivative of the Natural Log Function and the Log Rule for Integration
Lesson objectives followed by...
1:01 Activity to Help Understand How f(x)=ln x May Be Defined Using a Definite Integral
3:19 Defining f(x)=ln x Using a Definite Integral
4:59 Finding the Derivative of the Natural Log Function
Finding Derivatives of Natural Log Functions
6:28 Ex. 1) f(x)=ln (x sin x)
6:52 Rewriting f Using Properties of Logarithms
8:57 Ex. 2) f(x)=ln (7x^3)
9:31 Rewriting f Using Properties of Logarithms
10:57 Ex. 3) f(x)=(ln 2x)(ln 5x)
13:36 Ex. 4) f(x)=sin (ln x)
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15:28 The Log Rule for Integration | What is the Antiderivative of f(x)= 1/x ?
Integrating Using the Log Rule for Integration
17:44 Ex. 5) The Indefinite Integral of 1/ (8x) with Respect to x
18:26 Ex. 6) The Indefinite Integral of (5x^2) / (x^3 + 4) with Respect to x
18:44 Using Integration by Substitution
22:46 Summary of the Lesson
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