Evaluate the integral: 16 √ 2² √² + 64 0x = (A) Which trig substitution is correct for this integral? 0x = 16 sec (0) 0x = 8 sin(0) Ox= 64 sin(0) 64 sec (0) dx 0x = 8 tan(0) Or = 64 tan(0) Οχ (B) Which integral do you obtain after substituting for x 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
Evaluate the integral: 16 √ 2² √² + 64 0x = (A) Which trig substitution is correct for this integral? 0x = 16 sec (0) 0x = 8 sin(0) Ox= 64 sin(0) 64 sec (0) dx 0x = 8 tan(0) Or = 64 tan(0) Οχ (B) Which integral do you obtain after substituting for x 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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 70E
Related questions
Question
![Evaluate the integral: L
16
x²√x² + 64
dx
(A) Which trig substitution is correct for this integral?
0x = 16 sec (0)
0x = 8 sin(0)
Ox= 64 sin(0)
X=
O x = 64 sec (0)
Ox= 8 tan (0)
O x = 64 tan(0)
(B) Which integral do you obtain after substituting for a 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa95723ba-a748-4065-8d63-470bc6e0fa03%2Fa5935e70-f12b-4a0d-af0a-2daaae7cdcc1%2F0cbq2gz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Evaluate the integral: L
16
x²√x² + 64
dx
(A) Which trig substitution is correct for this integral?
0x = 16 sec (0)
0x = 8 sin(0)
Ox= 64 sin(0)
X=
O x = 64 sec (0)
Ox= 8 tan (0)
O x = 64 tan(0)
(B) Which integral do you obtain after substituting for a 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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