About This Chapter
How it works:
- Identify which concepts are covered on your integration applications homework.
- Find videos on those topics within this chapter.
- Watch fun videos, pausing and reviewing as needed.
- Complete sample problems and get instant feedback.
- Finish your integration applications homework with ease!
Topics from your homework you'll be able to complete:
- Using integration and dynamic motion
- Calculating simple areas with root finding and integration
- Using integration to find area between functions
- Calculating volumes using single integrals
- Finding volumes of revolution with integration
1. Integration and Dynamic Motion
This lesson uses driving to demonstrate how graphing can help you use calculus to figure out how fast you were going at a given time. Using this lesson, you can learn how to integrate your velocity to find your position.
2. How to Find Simple Areas With Root Finding and Integration
Combine your calculus tools in this lesson! Find the area enclosed by multiple arbitrary functions by first finding the root of an equation and then integrating over the resulting range.
3. How to Find Area Between Functions With Integration
Sometimes you aren't looking for the area under the curve; after all, not every region is between a curve and axis! In this lesson, learn how to find areas between curves as well as areas with complicated boundaries.
4. How to Calculate Volumes Using Single Integrals
Ever wonder where the equation for the volume of a cone comes from? Or the equation for the volume of a sphere? In this lesson, learn how to use a slicing technique to find the volume of a region by solving a single integral.
5. How to Find Volumes of Revolution With Integration
Some shapes look the same as you rotate them, like the body of a football. In this lesson, learn how to find the volumes of shapes that have symmetry around an axis using the volume of revolution integration technique.
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Other chapters within the Calculus: Homework Help Resource course
- Graphing and Functions: Homework Help
- Continuity: Homework Help
- Geometry and Trigonometry in Calculus: Homework Help
- Using Scientific Calculators in Calculus: Homework Help
- Limits: Homework Help
- Rate of Change: Homework Help
- Calculating Derivatives and Derivative Rules: Homework Help
- Graphing Derivatives and L'Hopital's Rule: Homework Help
- Applications of Derivatives: Homework Help
- Area Under the Curve and Integrals: Homework Help
- Integration and Integration Techniques: Homework Help
- Differential Equations: Homework Help