13 Evaluate the integral: dr (A) Which trig substitution is correct for this integral? Or = 3 sin(8) Oa = 9 tan(0) 13 sec(0) Or = 9 sin(0) 3 tan(0) Ox = 9 sec(0) (B) Which integral do you obtain after substituting for æ and simplifying? Note: to enter 0, type the word theta. 13 3 tan(e2 ) V 3 tan(o²) +1 x de (C) What is the value of the above integral in terms of 0? -13 9. o + C sin( 0) (D) What is the value of the original integral in terms of æ? -13 V9+g² o +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
13
Evaluate the integral:
dr
x2Vx? + 9
(A) Which trig substitution is correct for this integral?
Ox = 3 sin(0)
Ox = 9 tan(0)
13 sec(0)
9 sin(0)
3 tan(0)
T =
9 sec(0)
%3D
(B) Which integral do you obtain after substituting for a and simplifying?
Note: to enter 0, type the word theta.
13
x de
3 tan(e ) V3 tan(6) +1
(C) What is the value of the above integral in terms of 0?
-13
o + C
sin( 0)
(D) What is the value of the original integral in terms of x?
-13
V 9 + z?
o + C
Transcribed Image Text:13 Evaluate the integral: dr x2Vx? + 9 (A) Which trig substitution is correct for this integral? Ox = 3 sin(0) Ox = 9 tan(0) 13 sec(0) 9 sin(0) 3 tan(0) T = 9 sec(0) %3D (B) Which integral do you obtain after substituting for a and simplifying? Note: to enter 0, type the word theta. 13 x de 3 tan(e ) V3 tan(6) +1 (C) What is the value of the above integral in terms of 0? -13 o + C sin( 0) (D) What is the value of the original integral in terms of x? -13 V 9 + z? o + C
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