valuate the integral: dx A) Which trig substitution is correct for this integral? 1 -sec(0) 16 7 - sec(0) 7 -sin(0) 4 4 7 sec(8) 49

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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Question
V16x2
49
Evaluate the integral:
x3
(A) Which trig substitution is correct for this integral?
1
-sec(0)
x =
16
7
sec(0)
4
7
x =
4
sin(0)
4
x =
7 sec(0)
49
-sec(0)
16
(B) Which integral do you obtain after substituting for x?
Note: to enter 0, 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:V16x2 49 Evaluate the integral: x3 (A) Which trig substitution is correct for this integral? 1 -sec(0) x = 16 7 sec(0) 4 7 x = 4 sin(0) 4 x = 7 sec(0) 49 -sec(0) 16 (B) Which integral do you obtain after substituting for x? Note: to enter 0, 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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