Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 7 - Applications of Integration - 7.2 Exercises: 1

Answer

V = pi/3

Work Step by Step

Since pi is a constant, the formula you start off with is volume equals pi times the integral from zero to one of quantity -x + 1 squared. This can be rewritten as volume equals pi times integral of x^2 -2x +1. V = pi * integral of (-x+1)^2 dx V = pi * integral of ((x^2) -2x + 1 dx V = pi * [((x^3)/3) - (x^2) + x] V = pi * ((((1^3)/3 - (1^2) + 1) - (((0^3)/3) - (0^2) + 0)) V = pi *1/3 V = pi/3
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