Step 2 14e-x2 and above the x-axis between x = 0 and x = 1 around the y-axis is Now we can say that the volume of the solid created by rotating the region under y = V = 2 nrh dx 2TX 14e dx. Step 3 The integral 2n dy can be done with the substitution u = 2x and du = 14xe dx. -2.x Step 4 With the substitution, we have 2n 14xe dx = e" du = - + C. Submit Skip (you cannot come back)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I understand what I am supposed to do, but I can't seem to get the proper equation that is needed.

Step 2
Now we can say that the volume of the solid created by rotating the region under y = 14eX and above the x-axis between x = 0 and x = 1 around the y-axis is
V =
2 nrh dx
20 14e-x
dx.
14e-²?
Step 3
The integral 2n
d. can be done with the substitution u =
and du =
-2x
dx.
-2.x
14xe
Step 4
With the substitution, we have 2n
14xe
dx =
eº du =
+ C.
Submit
Skip (you cannot come back)
Transcribed Image Text:Step 2 Now we can say that the volume of the solid created by rotating the region under y = 14eX and above the x-axis between x = 0 and x = 1 around the y-axis is V = 2 nrh dx 20 14e-x dx. 14e-²? Step 3 The integral 2n d. can be done with the substitution u = and du = -2x dx. -2.x 14xe Step 4 With the substitution, we have 2n 14xe dx = eº du = + C. Submit Skip (you cannot come back)
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