Applications of Integration
A series of free Calculus Video Lessons from UMKC - The University of Missouri-Kansas City.
Calculus I - Lecture 29
Plane Area
- Area Between Two Curves [One Floor, One Ceiling] [11 min.]
- Area Between Two Curves [One Left, One Right] [7.5 min.]
- An Exercise [5.5 min.]
Calculus I - Lecture 29 Part II - The Definite Integral Applied: Volumes I
Volumes I
- Volumes by Slicing [12.5 min.]
- Volumes of Solids of Revolution: Disks [15.5 min.]
- Volumes of Solids of Revolution: Washers [12 min.]
- Some Exercises [8.5 min.]
Calculus I - Lecture 30
Volumes II
- Volumes of Solids of Revolution: Cylindrical Shells [14.5 min.]
- An Exercise [6 min.]
Length of a Plane Curve
- Finding Arc Lengths [11.5 min.]
- Finding Arc Lengths of Parametric Curves [6.5 min.]
Calculus I - Lecture 31 Average Value of a Function
- Average (Mean) Value of a Continuous Function [13 min.]
Work
- Work Done by a Constant Force [3 min.]
- Work Done by a Variable Force [13.5 min.]
- Do-It-Yourself Integrals: Pumping Fluids [8 min.]
- Work as Change in Kinetic Energy [6 min.]
- An Exercise [5 min.]
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