/64x² 25 dx - Evaluate the integral: x3 (A) Which trig substitution is correct for this integral? 1 x = -sec(0) 64 -sec(0) 8 O x = 25 - sec(0) 64 O x = -sin(0) 8 O x = 8 -sec(0) (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

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
/64x²
25
dx
-
Evaluate the integral:
x3
(A) Which trig substitution is correct for this integral?
1
x =
-sec(0)
64
-sec(0)
8
O x =
25
- sec(0)
64
O x =
-sin(0)
8
O x =
8
-sec(0)
(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:/64x² 25 dx - Evaluate the integral: x3 (A) Which trig substitution is correct for this integral? 1 x = -sec(0) 64 -sec(0) 8 O x = 25 - sec(0) 64 O x = -sin(0) 8 O x = 8 -sec(0) (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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