Evaluate the integral: √16x² 8x² O x = 16 tan(0) Ox = 4 sin(0) Ox= 16 sec (0) Ox= 16 sin(0) 0x = 4 sec (0) -dx (A) Which trig substitution is correct for this integral? 0x = 4 tan(0) (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
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Evaluate the integral:
√16x²
8x²
[16
O x = 4 sin(0)
Οχ
16 sec (0)
Or = 16 sin (0)
0x = 4 sec (0)
=
(A) Which trig substitution is correct for this integral?
0x = 4 tan (0)
Ox=16 tan(0)
dx
(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
Transcribed Image Text:Evaluate the integral: √16x² 8x² [16 O x = 4 sin(0) Οχ 16 sec (0) Or = 16 sin (0) 0x = 4 sec (0) = (A) Which trig substitution is correct for this integral? 0x = 4 tan (0) Ox=16 tan(0) dx (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
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