:/ √64x2-49 x3 (A) Which trig substitution is correct for this integral? Evaluate the integral: da

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 70E
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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
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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