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Volumes of Revolution: The Disk Method
the-y-axis.weebly.commath 131 application: volumes of revolution, part ii 8 because [f(x)]2 is continuous on [a,b] since f(x) is continuous there. Volume of Revolution = lim n!• p n  i=1 [f(xi)]2Dx = p Z b a [f(x)]2 dx (6.5) where we have used the fact that the limit of a Riemann sum is a definite integral.