S x2 +2x-10 (2x+4) + 1 JE + 4x +5) Consider dx = x² (x² + 4x + 5) (2x+4) + 1 dx- x² + 4x +5 dx , evaluate x2 2Inx + -- In(x² + 4x +5)– Arctan(x +2) + C 2 - In(x2 + 4x+5) + Arctan(x+ 2) +C 2Inx + 2 2Inx – In(x2 + 4x +5) – Arctan(x + 2) + C 2 2lnx - In(x2 + 4x + 5)+ Arctan(x +2) + C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 49E
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Question
x² + 2x- 10
dx =
x² (x² + 4x + 5)
(2x+ 4) +1
JE +4x +5)
2
Consider
dx, evaluate
(2x+4) + 1
dx -
x² + 4x + 5
x2
2
-- In(x2 + 4x+ 5) - Arctan(x + 2) +C
2Inx +
2
2Inx +
– In(x2 + 4x + 5) + Arctan(x+ 2) + C
2Inx
– In(x² + 4x+ 5) –Arctan(x + 2) + C
- - In(x² +4
+ Arctan(x +2) + C
2Inx
Transcribed Image Text:x² + 2x- 10 dx = x² (x² + 4x + 5) (2x+ 4) +1 JE +4x +5) 2 Consider dx, evaluate (2x+4) + 1 dx - x² + 4x + 5 x2 2 -- In(x2 + 4x+ 5) - Arctan(x + 2) +C 2Inx + 2 2Inx + – In(x2 + 4x + 5) + Arctan(x+ 2) + C 2Inx – In(x² + 4x+ 5) –Arctan(x + 2) + C - - In(x² +4 + Arctan(x +2) + C 2Inx
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