43. 45. 47. 49. x² + x + 2 (x + 1)(x² + 1) S 2x² + 5x + 5 (x + 1)(x² + 2x + 2) √(x - 1)( dx 20x 13 (x - 1)(x² + 4x + 5) +2 x³ - x² + 4x - 4 2 - dx dx dx 61. The reg x = 3 i 62. What's found in 63-73. Preli nary step suc partial fract [_do 63

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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help with problem 47, please write it on paper and explain every steps.

he appropriate
decomposition for the following functions.
39.
dx
41.
2x² + 3
(x² − 8x + 16) (x² + 3x + 4)
e quadratic factors Evaluate the following 60. The region
x= 1 is re-
61. The region
x = 3 is re-
43.
45.
47.
20x
(x - 1)²(x² + 1
49.
x² + x + 2
(x + 1)(x² + 1)
S
dx
2x² + 5x + 5
(x + 1)(x² + 2x + 2)
20x
(x - 1)(x² + 4x + 5)
To
42
√ = 4x-4d²x
x³ - x² + 4x - 4
dx
dx
58. The region I
about the x-
y not Determine whether the following state-
give an explanation or counterexample.
4x6
59. The region
62. What's wre
found if we
63.
63-73. Prelimin
nary step such as
partial fractions.
dx
1
Liter
x = 2 is re-
65.
dr the first step is to find the partial 67.
3x² + 4:
x²-3x
S
dt
Transcribed Image Text:he appropriate decomposition for the following functions. 39. dx 41. 2x² + 3 (x² − 8x + 16) (x² + 3x + 4) e quadratic factors Evaluate the following 60. The region x= 1 is re- 61. The region x = 3 is re- 43. 45. 47. 20x (x - 1)²(x² + 1 49. x² + x + 2 (x + 1)(x² + 1) S dx 2x² + 5x + 5 (x + 1)(x² + 2x + 2) 20x (x - 1)(x² + 4x + 5) To 42 √ = 4x-4d²x x³ - x² + 4x - 4 dx dx 58. The region I about the x- y not Determine whether the following state- give an explanation or counterexample. 4x6 59. The region 62. What's wre found if we 63. 63-73. Prelimin nary step such as partial fractions. dx 1 Liter x = 2 is re- 65. dr the first step is to find the partial 67. 3x² + 4: x²-3x S dt
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