We arrived at Formula 6.3.2, by using cylindrical shells, but now we can use integration by parts

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We arrived at Formula 6.3.2,

by using cylindrical shells, but now we can use integration by parts to prove it using the slicing method of Section 6.2, at least for the case where f is one-to-one and therefore has an inverse function . Use the figure to show that

Make the substitution y = f(x) and then use integration by parts on the resulting integral to prove that

We arrived at Formula 6.3.2,
by using cylindrical shells, but now

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Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

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Question Posted: Mar 04, 2016 07:05 AM

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We arrived at Formula 6.3.2, by using cylindrical shells, but now we can use integration by parts

Question:

Txf(x) dx 2π xf(x) dx x=g(y) y=f(x) x=b Ct

Step by Step Answer:

Using the formula for volumes of rotation and the f...View the full answer

Calculus Early Transcendentals

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