Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 70E
Related questions
Question
![Evaluate the integral:
0x =
Ox=
(A) Which trig substitution is correct for this integral?
8
Ox= sec(0)
7
1
64
7
8 sec (0)
Ox=
-sec(0)
7
○x = sin(0)
s
49
64 Sec(0)
√64x2-49
x3
-dx
(B) Which integral do you obtain after substituting for x?
Note: to enter 0, type the word theta.
de
(C) What is the value of the above integral in terms of 0?
+ C
(D) What is the value of the original integral in terms of x?
Note: WAMAP does not recognize the inverse secant (arcsec) function. You will need to use another inverse
trig function when you fill in your answer below.
+ C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F331dde76-6a50-46f2-a3c6-b980872f165e%2F19a5bd3d-6f2e-498a-b652-26fc1822292c%2F0np487s_processed.png&w=3840&q=75)
Transcribed Image Text:Evaluate the integral:
0x =
Ox=
(A) Which trig substitution is correct for this integral?
8
Ox= sec(0)
7
1
64
7
8 sec (0)
Ox=
-sec(0)
7
○x = sin(0)
s
49
64 Sec(0)
√64x2-49
x3
-dx
(B) Which integral do you obtain after substituting for x?
Note: to enter 0, type the word theta.
de
(C) What is the value of the above integral in terms of 0?
+ C
(D) What is the value of the original integral in terms of x?
Note: WAMAP does not recognize the inverse secant (arcsec) function. You will need to use another inverse
trig function when you fill in your answer below.
+ C
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