20x² Evaluate the integral: -dx V64 – 72 (A) Which trig substitution is correct for this integral? 8 sin(8) 8 tan(0) x = 64 tan(0) 64 sin(0) x = 64 sec(0) x = 8 sec(0) (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter 0, type the word theta. de (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 Check Answer

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 71E
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20x2
Evaluate the integral:
dx
64·
(A) Which trig substitution is correct for this integral?
O x =
8 sin(0)
8 tan(0)
64 tan(0)
64 sin(0)
т — 64 sec(0)
8 sec(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 æ?
+ C
Check Answer
Transcribed Image Text:20x2 Evaluate the integral: dx 64· (A) Which trig substitution is correct for this integral? O x = 8 sin(0) 8 tan(0) 64 tan(0) 64 sin(0) т — 64 sec(0) 8 sec(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 æ? + C Check Answer
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