36 - Evaluate the integral: dx (A) Which trig substitution is correct for this integral? Ox = 6 sec(0) O x = 6 sin(0) O x = 36 sec(0)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
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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(3/x² – 36
dx
Evaluate the integral:
x4
(A) Which trig substitution is correct for this integral?
O x = 6 sec(0)
O x = 6 sin(0)
O x = 36 sec(0)
O x = 6 tan(0)
O x = 36 tan(0)
O x = 3 sin(60)
(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:(3/x² – 36 dx Evaluate the integral: x4 (A) Which trig substitution is correct for this integral? O x = 6 sec(0) O x = 6 sin(0) O x = 36 sec(0) O x = 6 tan(0) O x = 36 tan(0) O x = 3 sin(60) (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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