(2x + 4) + 1 (2x +4) +1 dx: x2 + 4x + 5 x2 + 2x- 10 2 2 2 Consider dx = x2 (x2 + 4x + 5) dx evaluate UA x2 x2 + 4x + 5 x2 2 -In(x2 + 4x+ 5) + Arctan(x + 2) +C 2lnx + - 2 - In(x2 + 4x +5) - Arctan(x+2)+ C 2lnx 2lnx + - In(x2 + 4x+5) - Arctan(x+2) + c -- 2 - In(x2 + 4x + 5) + Arctan(x+ 2) + C 2lnx

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(2x + 4) +1)
dx-
x2 + 4x +5
x2 + 2x- 10
(2x +4) + 1
x2 + 4x +5
2
2
dx =
x² (x² + 4x +5)
2
Consider
dx evaluate
x2
x2
2
-In(x2 + 4x+ 5) + Arctan(x + 2) +C
2lnx +
2
- In(x2 + 4x +5)- Arctan(x+2)+ C
2lnx
-
2lnx +
- In(x2 + 4x +5) - Arctan(x+2) + C
--
2
- In(x2 + 4x + 5) + Arctan(x+ 2) + C
2lnx
Transcribed Image Text:(2x + 4) +1) dx- x2 + 4x +5 x2 + 2x- 10 (2x +4) + 1 x2 + 4x +5 2 2 dx = x² (x² + 4x +5) 2 Consider dx evaluate x2 x2 2 -In(x2 + 4x+ 5) + Arctan(x + 2) +C 2lnx + 2 - In(x2 + 4x +5)- Arctan(x+2)+ C 2lnx - 2lnx + - In(x2 + 4x +5) - Arctan(x+2) + C -- 2 - In(x2 + 4x + 5) + Arctan(x+ 2) + C 2lnx
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