Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.1 Areas and Volumes by Slices, #65 · Calculus · Applications of integrals

The region between … and … is rotated around the … axis

The region between $y = f (x)$ and $y = 1 + f (x)$ is rotated around the $y$ axis. The shells have height ____. The volume out to $x = a$ is ____. It equals the volume of a ____ because the shells are the same.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.1 Areas and Volumes by Slices, #65

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