Evaluate the integral: - 20 √2²√2² + 64 x²₁ dx (A) Which trig substitution is correct for this integral? Ox= 64 sin(0) X= O x = 64 tan (0) Οχ x = 64 sec(0) 0x = 8 sin(0) Ox=-20 sec(0) 0x = 8 tan(0) (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter , 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
Section7.4: Multiple-angle Formulas
Problem 70E
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- 20
Evaluate the integrat: 2/22 64 de
dx
+
(A) Which trig substitution is correct for this integral?
0x = 64 sin(0)
Ox=64 tan(0)
O x = 64 sec (0)
0x = = 8 sin(0)
0x =
0 x =
20 sec(0)
8 tan(0)
(B) Which integral do you obtain after substituting for x and simplifying?
Note: to enter , 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:- 20 Evaluate the integrat: 2/22 64 de dx + (A) Which trig substitution is correct for this integral? 0x = 64 sin(0) Ox=64 tan(0) O x = 64 sec (0) 0x = = 8 sin(0) 0x = 0 x = 20 sec(0) 8 tan(0) (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter , 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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