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[Notes]
Calculus II - Practice 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 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]

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

[Notes]

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