Evaluate the integral: (A) Which trig substitution is correct for this integral? 7 Ox= = O x = x = x= Ox= -sin(0) 9 7 -sec (0) 1 81 9 -sec(0) sec (0) 49 81 81x² - 49 x³ -sec (0) -dx (B) Which integral do you obtain after substituting for x? Note: to enter , type the word theta. do (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

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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Evaluate the integral:
(A) Which trig substitution is correct for this integral?
7
Ox=
=
O
x =
x =
x=
Ox=
-sin(0)
9
7
-sec (0)
1
81
9
-sec(0)
sec (0)
49
81
81x² - 49
x³
-sec (0)
-dx
(B) Which integral do you obtain after substituting for x?
Note: to enter , type the word theta.
do
(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: (A) Which trig substitution is correct for this integral? 7 Ox= = O x = x = x= Ox= -sin(0) 9 7 -sec (0) 1 81 9 -sec(0) sec (0) 49 81 81x² - 49 x³ -sec (0) -dx (B) Which integral do you obtain after substituting for x? Note: to enter , type the word theta. do (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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