V9 – x² -dx 10x2 | Evaluate the integral: (A) Which trig substitution is correct for this integral? Ox = 3 sec(0) Ox = 3 tan(0) Ox = 9 sin(0) Ox = 9 tan(0) 3 sin(0) Ox = 9 sec(0)

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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9 – x2
-dx
10x?
Evaluate the
integral:
(A) Which trig substitution is correct for this integral?
Ox =
3 sec(0)
Ox = 3 tan(0)
9 sin(0)
Ox = 9 tan(0)
Ox = 3 sin(0)
x =
9 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
Transcribed Image Text:9 – x2 -dx 10x? Evaluate the integral: (A) Which trig substitution is correct for this integral? Ox = 3 sec(0) Ox = 3 tan(0) 9 sin(0) Ox = 9 tan(0) Ox = 3 sin(0) x = 9 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
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