1.3.1 Problems. I. Integrate by Guess-and-Check. 1. /хех dx. e5x Answer. x 5 e5x + с. - 25 2. Гx cos 2x dx. sin 2x cos 2x Answer. x + 2 +C. 4 3. S(2x + 1) sin 3x dx. cos 3x Answer. -(2х + 1) 3 sin 3x + 9.

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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1.3.1 Problems.
I. Integrate by Guess-and-Check.
1. S xe5x dx.
e5x
Answer. x
5
e5x
+ c.
25
2. Гx сos 2x dx.
sin 2x
Answer. x
+
2
cos 2x
+ .
4
3. F(2х + 1) sin 3x dx.
2
+ sin 3x +c.
9.
cos 3x
Answer.
-(2x + 1):
3
Transcribed Image Text:1.3.1 Problems. I. Integrate by Guess-and-Check. 1. S xe5x dx. e5x Answer. x 5 e5x + c. 25 2. Гx сos 2x dx. sin 2x Answer. x + 2 cos 2x + . 4 3. F(2х + 1) sin 3x dx. 2 + sin 3x +c. 9. cos 3x Answer. -(2x + 1): 3
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