A20x 1)(x +4x +5) (E 35x dx 56. 2x+ 1 dx x2+ 4 55. 77 x4 X 1 dx x+9x dx 58. a 'lowing 57. (x2+3) 3+6x + 12x + 6 dx 2 60. dy 59. (x2 6x + 10) (y2 1)(22) 2 dx 61. dx 62. 11 6 (x+ 1)(x +2x + 2)2 x +1) 9x2 +x + 21 63. 264. 9x5 6x3 dx dx (3x2+7) (3x2+ 1) 65. Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. To evaluate do4x on dx, the first step is to find the partial Iraction decomposition of the integrand. 20x &1)(x + 4x +5) (E 2x + 1 )2 dx 56. dx x2+4 3+5x dx 4 + 1 dx +9x 58. ollowing 57 (x23) +6x2+ 12x +6 dx dy 60. 59. (x26x + 10)2 (y2+ 1)02+2) 2 dx dx 62. 61. x(x 1)2 (x+ 1)( +2x+ 2) 11 (x + 1) 9x2 +x+ 21 63. (3x2+7) 9x36x dx 99 dx 64. (3x2+1) , Explain why or why not Determine whether the following stat ments are true and give an explanation or counterexample. a. To evaluate o4xo dx, the first step is to find the partia x4 +3x2 Traction decomposition of the integrand. X

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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I need help with 61. I am integrating with partial fractions.

A20x
1)(x +4x +5)
(E
35x
dx 56.
2x+ 1
dx
x2+ 4
55.
77
x4
X 1
dx
x+9x
dx
58.
a
'lowing
57.
(x2+3)
3+6x + 12x + 6
dx
2
60.
dy
59.
(x2 6x + 10)
(y2 1)(22)
2
dx
61.
dx
62.
11
6
(x+ 1)(x +2x + 2)2
x +1)
9x2 +x + 21
63.
264.
9x5 6x3
dx
dx
(3x2+7)
(3x2+ 1)
65. Explain why or why not Determine whether the following state-
ments are true and give an explanation or counterexample.
a. To evaluate
do4x on
dx, the first step is to find the partial
Iraction decomposition of the integrand.
Transcribed Image Text:A20x 1)(x +4x +5) (E 35x dx 56. 2x+ 1 dx x2+ 4 55. 77 x4 X 1 dx x+9x dx 58. a 'lowing 57. (x2+3) 3+6x + 12x + 6 dx 2 60. dy 59. (x2 6x + 10) (y2 1)(22) 2 dx 61. dx 62. 11 6 (x+ 1)(x +2x + 2)2 x +1) 9x2 +x + 21 63. 264. 9x5 6x3 dx dx (3x2+7) (3x2+ 1) 65. Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. To evaluate do4x on dx, the first step is to find the partial Iraction decomposition of the integrand.
20x
&1)(x + 4x +5)
(E
2x + 1
)2
dx 56.
dx
x2+4
3+5x
dx
4
+ 1
dx
+9x
58.
ollowing
57
(x23)
+6x2+ 12x +6
dx
dy
60.
59.
(x26x + 10)2
(y2+ 1)02+2)
2
dx
dx
62.
61.
x(x 1)2
(x+ 1)( +2x+ 2)
11
(x + 1)
9x2 +x+ 21
63.
(3x2+7)
9x36x
dx
99
dx
64.
(3x2+1)
, Explain why or why not Determine whether the following stat
ments are true and give an explanation or counterexample.
a. To evaluate
o4xo
dx, the first step is to find the partia
x4 +3x2
Traction decomposition of the integrand.
X
Transcribed Image Text:20x &1)(x + 4x +5) (E 2x + 1 )2 dx 56. dx x2+4 3+5x dx 4 + 1 dx +9x 58. ollowing 57 (x23) +6x2+ 12x +6 dx dy 60. 59. (x26x + 10)2 (y2+ 1)02+2) 2 dx dx 62. 61. x(x 1)2 (x+ 1)( +2x+ 2) 11 (x + 1) 9x2 +x+ 21 63. (3x2+7) 9x36x dx 99 dx 64. (3x2+1) , Explain why or why not Determine whether the following stat ments are true and give an explanation or counterexample. a. To evaluate o4xo dx, the first step is to find the partia x4 +3x2 Traction decomposition of the integrand. X
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