Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 6 - Section 6.3 - Volumes by Cylindrical Shells - 6.3 Exercises - Page 454: 22

Answer

a.) $\displaystyle{V=2\pi\int_{0}^{\frac{\pi}{4}}\frac{\pi}{2}\tan x-x\tan x\ dx}\\ $ b.) $\displaystyle{V=2.25323}$

Work Step by Step

a.) $\displaystyle{V=\int_{0}^{\frac{\pi}{4}}\left(2\pi\left(\frac{\pi}{2}-x\right)\right)\left(\tan x\right)\ dx}\\ \displaystyle{V=2\pi\int_{0}^{\frac{\pi}{4}}\frac{\pi}{2}\tan x-x\tan x\ dx}\\ $ b.) $\displaystyle{V=2.25323}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.