x² + 2x- 10 (2x+4)+ 1) Consider dx evaluate x² (x² + 4x+ 5) (2x+4) + 1) dx- x2 + 4x +5) x2 x2 + 4x+5 2 x2 2 2lnx + - In(x2 + 4x+ 5)- Arctan(x+2)+C 2lnx - In(x² + 4x+5) + Arctan(x+2)+C 2lnx - In(x2 + 4x + 5)- Arctan(x+2)+C 2lnx + - In(x2 + 4x + 5)+ Arctan(x+2) + 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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Question
x² + 2x- 10
2
dx =
x² (x² + 4x + 5)
(2x + 4) + 1)
dx-
x² + 4x +5
(2x+4) + 1)
x² + 4x+5)
2
Consider
dx evaluate
x x2
x2
2
2lnx +
In(x²+ 4x+5)- Arctan(x+2) +C
2
2lnx
In(x2 +4x+5) + Arctan(x + 2) + C
|
2
2lnx
-In(x2+4x + 5)-Arctan(x+2) +C
|
2.
2Inx +
-In(x2 +4x+5) + Arctan(x+ 2)+C
|
Transcribed Image Text:x² + 2x- 10 2 dx = x² (x² + 4x + 5) (2x + 4) + 1) dx- x² + 4x +5 (2x+4) + 1) x² + 4x+5) 2 Consider dx evaluate x x2 x2 2 2lnx + In(x²+ 4x+5)- Arctan(x+2) +C 2 2lnx In(x2 +4x+5) + Arctan(x + 2) + C | 2 2lnx -In(x2+4x + 5)-Arctan(x+2) +C | 2. 2Inx + -In(x2 +4x+5) + Arctan(x+ 2)+C |
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