Evaluate the integral: int1/(x sqrt(9+x^2)) dx (A) Which trig substitution is correct for this integral? Ox=3 sin(theta) Ox= 3 sec(theta) Ox= 3 tan(theta) Ox=9 sin(theta)` Ox=9 sec(theta)` O`x= 9 tan(theta)` (B) Determine the sides of the triangle: A=' B=' C=" 0 C A 4 B
Evaluate the integral: int1/(x sqrt(9+x^2)) dx (A) Which trig substitution is correct for this integral? Ox=3 sin(theta) Ox= 3 sec(theta) Ox= 3 tan(theta) Ox=9 sin(theta)` Ox=9 sec(theta)` O`x= 9 tan(theta)` (B) Determine the sides of the triangle: A=' B=' C=" 0 C A 4 B
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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
Transcribed Image Text:4
(C) Which integral do you obtain after substituting for x? Simplify as much as possible.
Note: to enter theta', type the word theta.
`d theta
(D) What is the value of the above integral in terms of theta`? (Don't forget the `+C`.)
'int'
(E) What is the value of the original integral in terms of 'x'? (Don't forget the `+C.)

Transcribed Image Text:Evaluate the integral: 'int 1/(x sqrt(9-x^2)) dx
(A) Which trig substitution is correct for this integral?
Ox=3 sin(theta)
Ox= 3 sec (theta)
Ox= 3 tan(theta)
Ox=9 sin(theta)`
Ox=9 sec(theta)`
O`x= 9 tan(theta)`
(B) Determine the sides of the triangle:
'A='
B=
C="
0
C
A
4
B
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