Calculus 7'4 Day 2

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7.4 Day 2 Surface Area
Greg Kelly, Hanford High School, Richland,
Washington
(Photo not taken by Vickie Kelly)
2
Surface Area
Consider a curve rotated about the x-axis
The surface area of this band is
The radius is the y-value of the function, so the
whole area is given by
This is the same ds that we had in the length of
curve formula, so the formula becomes
3
Example
Rotate about the y-axis.
4
Example
Rotate about the y-axis.
5
Example
Rotate about the y-axis.
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rotated about x-axis.
Example
7
rotated about x-axis.
Example
8
Once again
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