Find the volume of the solid generated by revolving the shaded region about the y-axis. y 3

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
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Calculate the following questions

(c)
Find the volume of the solid generated by revolving the shaded region about the y-axis.
y
+ 3
Transcribed Image Text:(c) Find the volume of the solid generated by revolving the shaded region about the y-axis. y + 3
(a)
Integrate the following functions with respect to x.
2
(3x²
(i) f(x) =
7-3x2
(ii) f(x)
%|
5-7x+x3
x2
(iii) f (x) =
1+x6
(b) By using substitution and integration by parts, find f
dx.
(2х-1)2
xe2x
Transcribed Image Text:(a) Integrate the following functions with respect to x. 2 (3x² (i) f(x) = 7-3x2 (ii) f(x) %| 5-7x+x3 x2 (iii) f (x) = 1+x6 (b) By using substitution and integration by parts, find f dx. (2х-1)2 xe2x
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