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2. Limits
2.1. Motivation: Tangent and velocity
2.2. Limit of a function: Using computing device
2.3. Calculating limits with limit laws
2.4. The precise denition of a limit
2.5. Continuity
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2. Limits
The entire calculus is built on
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3. Derivatives
3.1. Derivatives at a point
3.2. The derivative on an interval
3.3. Dierentiation formulas
3.4. Derivatives of trigonometric functions
3.5. Chain rule
3.6. Implicit dierentiation
3.7. Rates of change and applications
3.8. Related r
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4. Further Applications of Integration
4.1. Arc length
4.2. Area of a surface of revolution
4.3. Applications to physics and engineering
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4. Further Applications of Integration
We have studied techniques of integration and some applicatio
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2. Applications of Integration
2.1. Areas between curves
2.2. Volumes
2.3. Volumes by cylindrical shells
2.4. Average value of a function
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2. Applications of Integration
This section is to apply integrals in the following applications:
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Preface
1. Integrals
1.1. Areas and distances
1.2. The denite integral
1.3. The fundamental theorem of calculus
1.4. Indenite integrals and the net change theorem
1.5. The substitution rule
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Preface
Textbooks: Single Variable Cal