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Home Applications of the Integral Area of a Surface of Revolution Rotating a Curve About the Xaxis  
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Rotating a Curve About the Xaxis
If a curve is rotated about the xaxis instead of the yaxis (Figure 6.4.14), we interchange x and y in the formulas for surface area, (about xaxis), (about xaxis), (about xaxis). Figure 6.4.14 Most of the time the formula for surface area will give an integral which cannot be evaluated exactly but can only be approximated, for example by the Trapezoidal Rule.


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