12x? Evaluate the integral: 16 – x² -

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.3: Applications Of Systems Of Linear Equations
Problem 13E: Use sin0=0, sin2=1, and sin=0 to estimate sin3.
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12x?
-dx
16 – x2
Evaluate the integral:
(A) Which trig substitution is correct for this integral?
Ox = 16 tan(0)
4 sin(0)
Ox =
Ox = 4 sec(0)
Ox =
16 sec(0)
Ox =
16 sin(0)
O x = 4 tan(0)
(B) Which integral do you obtain after substituting for x and simplifying?
Note: to enter 0, type the word theta.
do
(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:12x? -dx 16 – x2 Evaluate the integral: (A) Which trig substitution is correct for this integral? Ox = 16 tan(0) 4 sin(0) Ox = Ox = 4 sec(0) Ox = 16 sec(0) Ox = 16 sin(0) O x = 4 tan(0) (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter 0, type the word theta. do (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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