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Some Applications of Definite Integral Sample Problems

 

animated gifExploring Volumes with Known Cross Sections

Answers

 

   

 

Finding the Volume of a Solid with a Known Cross Section 

   
Applications of the Definite Integral

Understanding Functions Defined by Integrals

   
Discovering the Average Value of a Function

 

Understanding the 2nd Fundamental Theorem of Calculus

   

Volume of a Bundt Cake

Mathematics Teacher article related to this lab:  Rahn, James R., Giving Meaning to Volume in Calculus, Feb 1991, 110-112

Area of a Nike Symbol

Print out of Nike Symbol on Graph Paper

Social Diffusion - Logistic Growth

 

One possible solution for Nike Symbol

Torricelli's Model

 

Volumes of Solids of Revolution


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Volumes of Solids of Revolution

Powerpoint

 

Motion

Smartboard