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Calculus II (Practice Problems) / Applications of Integrals / Surface Area   [Notes] [Practice Problems] [Assignment Problems]

Calculus II - Practice Problems
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1. Set up, but do not evaluate, an integral for the surface area of the object obtained by rotating  ,  about the y-axis using,

            (a)  

            (b)     

[Solution]

 

2. Set up, but do not evaluate, an integral for the surface area of the object obtained by rotating  ,  about the x-axis using,

            (a)  

            (b)     

[Solution]

 

3. Set up, but do not evaluate, an integral for the surface area of the object obtained by rotating  ,  about the given axis.  You can use either ds.

            (a) x-axis

 

            (b) y-axis

[Solution]

 

4. Find the surface area of the object obtained by rotating  ,  about the y-axis. [Solution]

 

5. Find the surface area of the object obtained by rotating  ,  about the x-axis. [Solution]

 

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Arc Length Previous Section   Next Section Center of Mass
Integration Techniques Previous Chapter   Next Chapter Parametric Equations and Polar Coordinates

Calculus II (Practice Problems) / Applications of Integrals / Surface Area    [Notes] [Practice Problems] [Assignment Problems]

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