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(Solved): Some Of The Pioneers Of Calculus, Such As Kepler And Newton, Were Inspired By The Problem Of Findin...

Some of the pioneers of calculus, such as Kepler and Newton, were inspired by the problem of finding the volumes of wine barrels. (In fact Kepler published a book Stereometria doliorum in 1715 devoted to methods for finding the volumes of barrels.) They often approximated the shape of the sides by parabolas.

(b) Find the volume V enclosed by the barrel.

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