Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 33E
Related questions
Question
I just want to confirm if my solution is right. If not, please rewrite the solution and correct me.
In the last part, is it supposed to be - cot x - ( x + C) which will then become - cot x - x - C? Or is my answer just right? Please explain.
Transcribed Image Text:csc Ccot x) tcosx
cse Ccot x)
dx +
cos'x
dx
gin'x
dx 4
un? X
sin'x
A
cre Cot x)
dx
Let u- cot X
du - -csc xd -du- cac'xdx
&C (catx). cscx dx
Sesc u. - du
CSC U
-Sccu du
CsCu
ラーn |ccu-cotultし
A - In lere Ccotx) -cot (otx) Itc
Cos"X dx > - cotK-xt C
SmX
B,
A,
sin3X
(-sm?X
dx a
一州T
dx
- cot X
B, 7
I dx
X + C
A, - B, - - cotx- X + C
AtB = -In |csc Ccot x) -cot (cot x)| #Q¢ - co+x-x +c
%3D
Transcribed Image Text:csc(cot a)+cos² x
sin? x
dx
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