Paul's Online Math Notes
Calculus II (Assignment Problems) / Applications of Integrals / Surface Area   [Notes] [Practice Problems] [Assignment Problems]

Calculus II - Assignment Problems
Integration Techniques Previous Chapter   Next Chapter Parametric Equations and Polar Coordinates
Arc Length Previous Section   Next Section Center of Mass

 Surface Area

 

1. 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)     

 

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)     

 

3. 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)     

 

4. Set up, but do not evaluate, an integral for the surface area of the object obtained by rotating  ,  about

            (a) the x-axis

 

            (b) the y-axis.

 

5. Set up, but do not evaluate, an integral for the surface area of the object obtained by rotating  ,  about

            (a) the x-axis

 

            (b) the y-axis.

 

6. Find the surface area of the object obtained by rotating  ,  about the x-axis.

 

7. Find the surface area of the object obtained by rotating  ,  about the y-axis.

 

8. Find the surface area of the object obtained by rotating  ,  about the y-axis.

 

9. Find the surface area of the object obtained by rotating  ,  about the x-axis.

 

10. Find the surface area of the object obtained by rotating  ,  about the y-axis.

 

11. Find for the surface area of the object obtained by rotating  ,  about the x-axis.

 

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

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

© 2003 - 2017 Paul Dawkins