x² – 81 dx tegral: ubstitution is correct for this integral? an(0) ec(0) n(0) sec(8) n(8) Can(0) ral do you obtain after substituting for x and simplifying? 9, type the word theta. de value of the above integral in terms of 0? + C value of the original integral in terms of x? + C D Video ion

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Vx² – 81
dx
Evaluate the integral:
(A) Which trig substitution is correct for this integral?
O x =
9 tan(0)
9 sec(0)
9 sin(0)
81 sec(0)
O x
= 9 sin(0)
81 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
Question Help:
D Video
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Transcribed Image Text:Vx² – 81 dx Evaluate the integral: (A) Which trig substitution is correct for this integral? O x = 9 tan(0) 9 sec(0) 9 sin(0) 81 sec(0) O x = 9 sin(0) 81 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 Question Help: D Video Submit Question
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