/16 Evaluate the integral: dx 3x2 (A) Which trig substitution is correct for this integral? x = 4 sec(0) x = 4 tan(0) x = 16 sec(0) x = 4 sin(0) O x = 16 tan(0) O x = 16 sin(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

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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Question
16 – x²
dx
-
Evaluate the integral:
3x2
(A) Which trig substitution is correct for this
integral?
x = 4 sec(0)
4 tan(0)
x =
O x = 16 sec(0)
x = 4 sin(0)
16 tan(0)
X =
Ox = 16 sin(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:16 – x² dx - Evaluate the integral: 3x2 (A) Which trig substitution is correct for this integral? x = 4 sec(0) 4 tan(0) x = O x = 16 sec(0) x = 4 sin(0) 16 tan(0) X = Ox = 16 sin(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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