-21 Evaluate the integral: rV + 81 (A) Which trig substitution is correct for this integral? Or = 9 tan(0) Ox = 81 sec(0) Or = 81 tan(0) %3D Ox = 9 sin(0) %3D Ox = 81 sin(0) %3D Or = - 21 sec(0) %3D (B) Which integral do you obtain after substituting for r and simplifying? 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? + 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
-21
Evaluate the integral:
dx
rV + 81
(A) Which trig substitution is correct for this integral?
Or = 9 tan(0)
%3D
Or = 81 sec(0)
Or = 81 tan(0)
Ox = 9 sin(0)
Ox = 81 sin(0)
%3D
Or = - 21 sec(0)
(B) Which integral do you obtain after substituting for r and simplifying?
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?
+ C
Transcribed Image Text:-21 Evaluate the integral: dx rV + 81 (A) Which trig substitution is correct for this integral? Or = 9 tan(0) %3D Or = 81 sec(0) Or = 81 tan(0) Ox = 9 sin(0) Ox = 81 sin(0) %3D Or = - 21 sec(0) (B) Which integral do you obtain after substituting for r and simplifying? 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? + C
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