Evaluate the integral: 25√x² x4 81 - dx (A) Which trig substitution is correct for this integral? Ox = 81 sec (0) O x = 9 sin(0) Ox = 25 sin(0) 0x = = 9 tan(0) Ox = 9 sec (0) Ox = 81 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 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:
0x = 25 sin(0)
Ox =
= 9 tan (0)
(25√x² - 81
x4
(A) Which trig substitution is correct for this integral?
Ox = 81 sec (0)
X= = 9 sin(0)
0x = 9 sec (0)
Ox = 81 tan(0)
dx
(B) Which integral do you obtain after substituting for x and simplifying?
Note: to enter , 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
Transcribed Image Text:Evaluate the integral: 0x = 25 sin(0) Ox = = 9 tan (0) (25√x² - 81 x4 (A) Which trig substitution is correct for this integral? Ox = 81 sec (0) X= = 9 sin(0) 0x = 9 sec (0) Ox = 81 tan(0) dx (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter , 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
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