30z2 Evaluate the integral: /25 – æ² (A) Which trig substitution is correct for this integral? Ox = 5 sec(0) Ox = 5 sin(0) Ox = 25 tan(0) Ox = 25 sec(0) 5 tan(0) Ox = 25 sin(0) (B) Which integral do you obtain after substituting for æ and simplifying? Note: to enter 0, type the word theta. de (C) What is the value of the above integral in terms of ? + C (D) What is the value of the original integral in terms of æ? + C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 90E
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30x2
dx
/25– x2
Evaluate the integral:
(A) Which trig substitution is correct for this integral?
Or = 5 sec(0)
5 sin(0)
Ox = 25 tan(0)
Ox = 25 sec(0)
Ox = 5 tan(0)
Or = 25 sin(0)
(B) Which integral do you obtain after substituting for æ 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
Transcribed Image Text:30x2 dx /25– x2 Evaluate the integral: (A) Which trig substitution is correct for this integral? Or = 5 sec(0) 5 sin(0) Ox = 25 tan(0) Ox = 25 sec(0) Ox = 5 tan(0) Or = 25 sin(0) (B) Which integral do you obtain after substituting for æ 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
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ISBN:
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Swokowski
Publisher:
Cengage