24x2 da Evaluate the integral:

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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24z2
Evaluate the integral: /-
dz
(A) Which trig substitution is correct for this integral?
x = 2 sin(0)
Ox = 4 tan(0)
I = 2 tan(8)
Ox = 4 sin(0)
= 2 sec(0)
Ox = 4 sec(0)
(B) Which integral do you obtain after substituting for r 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 æ?
+ C
Transcribed Image Text:24z2 Evaluate the integral: /- dz (A) Which trig substitution is correct for this integral? x = 2 sin(0) Ox = 4 tan(0) I = 2 tan(8) Ox = 4 sin(0) = 2 sec(0) Ox = 4 sec(0) (B) Which integral do you obtain after substituting for r 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 æ? + C
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