59. 60: 61. ft+1₁ - dt 62. [² 63. t² - e²t :) 65. t + et dx ex+2 68. 10t5 3 e2w - t - -dt ew - 1 64. (√²+√³) dx S [= 16 cos²w81 sin ² w 66. S 67. √ (22-4√3x) da 4 cos w 9 sin w 5e +4 dw 1+ V x X -dt 2+x² 1+x² dx - dx -dw

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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Indefinite integrals. Determine the following indefinite integrals. Check your work by differentiation. (Question 59 and 67) Answers bellow
59.
60:
61.
Ï
1²
62.
63.
t+1
J
65.
t
t² - e²t
68.
ex+2
t + et
dx
- dt
t
e2w 5e +4
ew - 1
64. (√²+√³) dx
10t5 3
-
1+
-
S
[=
16 cos²w81 sin ² w
66.
4 cos w - 9 sin w
S
67. √ (22-4√32) da
dt
X
2+x²
1+x²
dt
x
dx
dw
dx
-dw
Transcribed Image Text:59. 60: 61. Ï 1² 62. 63. t+1 J 65. t t² - e²t 68. ex+2 t + et dx - dt t e2w 5e +4 ew - 1 64. (√²+√³) dx 10t5 3 - 1+ - S [= 16 cos²w81 sin ² w 66. 4 cos w - 9 sin w S 67. √ (22-4√32) da dt X 2+x² 1+x² dt x dx dw dx -dw
55.4 sec ¹x + C
1
6
sec¹|x + C
t + ln |t| + C
e+2+C
57.
59.
61.
63.
65.
67.
69.
71.
e4w + C
In x + 2√x + C
4
24
x15/2
15
x6
6
2x4
-
L
11
ش مخ
x11/6 + C
2
3
cos x + 3
+x+1
Transcribed Image Text:55.4 sec ¹x + C 1 6 sec¹|x + C t + ln |t| + C e+2+C 57. 59. 61. 63. 65. 67. 69. 71. e4w + C In x + 2√x + C 4 24 x15/2 15 x6 6 2x4 - L 11 ش مخ x11/6 + C 2 3 cos x + 3 +x+1
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