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.]

Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

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