2. Find the volume of the solid that results by revolving the enclosed region about the given line. a. The region in the first quadrant bounded by y = √2, y = secx tan x, x=0 is revolved about the line y = √2.

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 how we got the antiderivatives here, the confusion for me is when we had to plug in pi/4 and 0. I circled the answer I got in purple and the answer my teacher got in green. Not sure what I did wrong.

2. Find the volume of the solid that results by revolving the enclosed region about
the given line.
a. The region in the first quadrant bounded by y = 2, y= sec x tan x, x=0 is
revolved about the line y = v2.
reit
R(X) = V2-s
T[R(x)]° dx
sec x tan =V=
sec x tan X
dx
12
S. (2-2/2
sec x tan x + sec x tan" x
dx
2 dx - 2/2 sec x tan x dx + (tan xsec" x dx
T/4
[2x4 – 2/2[sec x* + 5
tno x
tan30
24)-22sec
tan?
2(0)-212 sec(6)+
3-
-2l2+0
4
5.
2-3
Transcribed Image Text:2. Find the volume of the solid that results by revolving the enclosed region about the given line. a. The region in the first quadrant bounded by y = 2, y= sec x tan x, x=0 is revolved about the line y = v2. reit R(X) = V2-s T[R(x)]° dx sec x tan =V= sec x tan X dx 12 S. (2-2/2 sec x tan x + sec x tan" x dx 2 dx - 2/2 sec x tan x dx + (tan xsec" x dx T/4 [2x4 – 2/2[sec x* + 5 tno x tan30 24)-22sec tan? 2(0)-212 sec(6)+ 3- -2l2+0 4 5. 2-3
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