Evaluate the integral: -dz 1372 (A) Which trig substitution is correct for this integral? Oz = 64 sec(0) Oz = 8 sec(0) Oz - 8 sin(0) z = 64 tan(0) z = 64 sin(0) Oz = 8 tan(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 e O arcsin -0) + vT8 + 0) (8 – 0) 130 (D) What is the value of the original integral in terms of z? z arcsinz) + v (8+z)(8–1) 13z

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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V64 – 22
Evaluate the integral: Vo
1312
(A) Which trig substitution is correct for this integral?
- 64 sec(0)
8 sec(0)
8 sin(0)
64 tan(0)
- 64 sin(0)
8 tan(0)
(B) Which integral do you obtain after substituting for a and simplifying?
Note: to enter 0, type the word theta.
OP
(C) What is the value of the above integral in tems of 0
O arcsin-0)
+ vT8 + 0) (8 – 0)
X + C
130
(D) What is the value of the original integral in terms of z?
I arcsin
1)+v (8+ z)(8 - )
13z
Transcribed Image Text:V64 – 22 Evaluate the integral: Vo 1312 (A) Which trig substitution is correct for this integral? - 64 sec(0) 8 sec(0) 8 sin(0) 64 tan(0) - 64 sin(0) 8 tan(0) (B) Which integral do you obtain after substituting for a and simplifying? Note: to enter 0, type the word theta. OP (C) What is the value of the above integral in tems of 0 O arcsin-0) + vT8 + 0) (8 – 0) X + C 130 (D) What is the value of the original integral in terms of z? I arcsin 1)+v (8+ z)(8 - ) 13z
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