14x2 Evaluate the integral: '25 — а2 (A) Which trig substitution is correct for this integral? O x = = 25 tan(0) x = 5 sin(0) 5 tan(0) x = 5 sec(0) 25 sin(0) O x = 25 sec(0) (B) Which integral do you obtain after substituting for x 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
14x2 Evaluate the integral: '25 — а2 (A) Which trig substitution is correct for this integral? O x = = 25 tan(0) x = 5 sin(0) 5 tan(0) x = 5 sec(0) 25 sin(0) O x = 25 sec(0) (B) Which integral do you obtain after substituting for x 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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:14x?
-dx
25 – x2
Evaluate the integral:
(A) Which trig substitution is correct for this integral?
25 tan(0)
5 sin(0)
= 5 tan(0)
5 sec(0)
O x =
25 sin(0)
Ox = 25 sec(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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