Evaluate the integral: 21/x² 100 dx x4 (A) Which trig substitution is correct for this integral? 10 sin(0) x = x = 10 sec(0) x = 100 sec(0) x = 21 sin(0) x = 10 tan(0) x = 100 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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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r21/x2
Evaluate the integral:
100
dx
x4
(A) Which trig substitution is correct for this
integral?
= 10 sin(0)
X =
x = 10 sec(0)
Ox = 100 sec(0)
21 sin(0)
x = 10 tan(0)
O x = 100 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:r21/x2 Evaluate the integral: 100 dx x4 (A) Which trig substitution is correct for this integral? = 10 sin(0) X = x = 10 sec(0) Ox = 100 sec(0) 21 sin(0) x = 10 tan(0) O x = 100 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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