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How do you find the surface area of a solid of revolution?

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Sep 21, 2014

If the solid is obtained by rotating the graph of #y=f(x)# from #x=a# to #x=b#, then the surface area #S# can be found by the integral

#S=2pi int_a^b f(x)sqrt{1+[f'(x)]^2}dx#

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