I showed how I worked out this problem on scrap paper, and got up to the part circled in purple where it says arc tan. My question is, what happened to arc tan? Since it is not present in the final answer

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 showed how I worked out this problem on scrap paper, and got up to the part circled in purple where it says arc tan. My question is, what happened to arc tan? Since it is not present in the final answer. 

Ste
8.4.15 Let x = 3 tan 0 so that dx
gives
dx
= 3 sec? 0 do! Note that vx2 +93 9(tan? 0+ 1) = 3 sec 0. Substituting
%3D
cot 0 csc 0 dO
1
1
csc 0 + C:
6.
V2 +9
+C.
%3D
csc(tan-(x/3))+C =
6.
Csc(tan-1
9x
brexX
Transcribed Image Text:Ste 8.4.15 Let x = 3 tan 0 so that dx gives dx = 3 sec? 0 do! Note that vx2 +93 9(tan? 0+ 1) = 3 sec 0. Substituting %3D cot 0 csc 0 dO 1 1 csc 0 + C: 6. V2 +9 +C. %3D csc(tan-(x/3))+C = 6. Csc(tan-1 9x brexX
X=3tant
dr=3sec°0de
Han-e 9(1+tarie)
2.
3bec20=
esco
cot e
11
bece
9tan20
bece
%3D
tan20
tan20
cococatio
coto
coLo
Coto
cofe
cote
cococote
9 5Co coto
X-Dtant
coclarctan3
43=tano
TOA
3.
x2+9
sincomtan
Transcribed Image Text:X=3tant dr=3sec°0de Han-e 9(1+tarie) 2. 3bec20= esco cot e 11 bece 9tan20 bece %3D tan20 tan20 cococatio coto coLo Coto cofe cote cococote 9 5Co coto X-Dtant coclarctan3 43=tano TOA 3. x2+9 sincomtan
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