help with problem 47, please write it on paper and explain every steps. he appropriatedecomposition for the following functions.39.dx41.2x² + 3(x² − 8x + 16) (x² + 3x + 4)e quadratic factors Evaluate the following 60. The regionx= 1 is re-61. The regionx = 3 is re-43.45.47.20x(x - 1)²(x² + 149.x² + x + 2(x + 1)(x² + 1)Sdx2x² + 5x + 5(x + 1)(x² + 2x + 2)20x(x - 1)(x² + 4x + 5)To42√ = 4x-4d²xx³ - x² + 4x - 4dxdx58. The region Iabout the x-y not Determine whether the following state-give an explanation or counterexample.4x659. The region62. What's wrefound if we63.63-73. Preliminnary step such aspartial fractions.dx1Literx = 2 is re-65.dr the first step is to find the partial 67.3x² + 4:x²-3xSdt

Answered: Image /qna-images/answer/02cd9291-cffa-4d70-a97f-7a7cb8326a58.jpg

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

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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Question

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

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