Answer #41 please Finding the Area of aRevolution In Exercises 39-44, write andevaluate the definite integral that represents thearea of the surface generated by revolving thecurve on the indicated interval about the x-axis.Surface of39. у %3D40. y = 2/xyyy= 2x106.8-4y =2--12 4 6-4-2-6-4-8-10-6x341. y =1 sx 22x'42. y = 3x, 0sxs3Copyright 2019 Cengage Learning. All Rights Reserved. May not be copieType here to searchDIIF1F2F3F4F5@#$%2

Name: Answer #41 please Finding the Area of aRevolution In Exercises 39-44,
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Description: Answer #41 please Finding the Area of aRevolution In Exercises 39-44, write andevaluate the definite integral that represents thearea of the surface generated by revolving thecurve on the indicated interval about the x-axis.Surface of39. у %3D40. y =

Answered: 41. y = 1sxS 2 %3D 2x'

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Answer #41 please

Finding the Area of a
Revolution In Exercises 39-44, write and
evaluate the definite integral that represents the
area of the surface generated by revolving the
curve on the indicated interval about the x-axis.
Surface of
39. у %3D
40. y = 2/x
y
y
y= 2x
10
6.
8-
4
y =
2-
-1
2 4 6
-4
-2
-6
-4
-8
-10
-6
x3
41. y =
1 sx 2
2x'
42. y = 3x, 0sxs3
Copyright 2019 Cengage Learning. All Rights Reserved. May not be copie
Type here to search
DII
F1
F2
F3
F4
F5
@
#
$
%
2

Expert Solution

Step 1

Given

To evaluate the definite integral that represents the area of the surface generated by the curve on the indicated interval about the $X$ -axis.

$y = \frac{x^{3}}{6} + \frac{1}{2 x^{2}}, 1 \leq x \leq 2$

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