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  • MA101: Single-Variable Calculus I
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  • Course Introduction
  • Unit 1: Analytic Geometry
  • Unit 2: Instantaneous Rate of Change: The Derivative
  • Unit 3: Rules for Finding Derivatives
  • Unit 4: Transcendental Functions
  • Unit 5: Curve Sketching
  • Unit 6: Applications of the Derivative
  • Unit 7: Integration
  • Unit 8: Applications of Integration
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MA101: Single-Variable Calculus I

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  • Unit 8: Applications of Integration

    In this unit, we will take a first look at how integration can and has been used to solve various types of problems. Now that you have conceptualized the relationship between integration and areas and distances, you are ready to take a closer look at various applications; these range from basic geometric identities to more advanced situations in physics and engineering.

    Completing this unit should take you approximately 19 hours.

    • Unit 8 Learning Outcomes Page
    • 8.1: The Area between Curves

    • 8.2: Volumes of Solids

    • 8.3: Volume of Solids of Revolution

    • 8.4: Lengths of Curves

    • 8.5: Surface Areas of Solids

    • 8.6: Average Value of Functions

    • 8.7: Physical Applications

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