3x2 +7x +28 dx. x³ + x² + 7x Using partial fraction, evaluate 7/27 arctan 27 2x+ In r²+ x +7 4 In x +In Vx² + x +27 + ( 2x+1) arctan /27 V27 7/27 (2x+1' In arctan 27 V27 +C x²+ x + 7 ( 2x+ In Vx² + x +27 – 4 In x- 7 arctan /27 V27

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Topic Video
Question
(3x2 +7x +28
dx.
Using partial fraction, evaluate
x³ + x² + 7x
In
x² + x + 7
7/27
+
27
2x +1
+C
27
arctan
2x+1
4 In x +In x2 + x +27 +
27
+C
arctan
27
7/27
arctan
27
( 2x+1'
x4
+C
27
In
?+ x +7
2x+1
In x2 + x +27 - 4 In x -
arctan
+ C
V27
V27
Transcribed Image Text:(3x2 +7x +28 dx. Using partial fraction, evaluate x³ + x² + 7x In x² + x + 7 7/27 + 27 2x +1 +C 27 arctan 2x+1 4 In x +In x2 + x +27 + 27 +C arctan 27 7/27 arctan 27 ( 2x+1' x4 +C 27 In ?+ x +7 2x+1 In x2 + x +27 - 4 In x - arctan + C V27 V27
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