Indefinite integrals. Determine the following indefinite integrals. Check your work by differentiation. (Question 63 and 65)Answers are given 157. sec¹|x|+C659.t + ln t + Ce+2+C61.63.65.67.69. L-e4w + CIn x + 2√x + C424x15/211x³ + x + 13151x6671. 2x4W|Ncos x + 311/6 + C 61.62.s[efiveS=[²9 sin w[√x (2x6 - 4√3x) dxX63.64.65.66.dx10t5 - 367.ex+2te2w 5e + 4ew - 13-dtx² + √x³) dx4 cos wdw1+√xdxX16 cos²w - 81 sin²w-dw

Answered: Image /qna-images/answer/1676c1e8-1e9f-4607-9ee4-788dd09af232.jpg

Answered: 63. 1³ dw ew - 1 3 / x² + √√x³) dx [¹+…

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Calculus

63. 1³ dw ew - 1 3 / x² + √√x³) dx [¹+ 1+√√√x X 64. e2w - 5ew +4 65. -dx

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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Indefinite integrals. Determine the following indefinite integrals. Check your work by differentiation. (Question 63 and 65) Answers are given

1
57. sec¹|x|+C
6
59.t + ln t + C
e+2+C
61.
63.
65.
67.
69. L
-
e4w + C
In x + 2√x + C
4
24
x15/2
11
x³ + x + 1
3
15
1
x6
6
71. 2x4
W|N
cos x + 3
11/6 + C

61.
62.
s
[e
five
S=
[²
9 sin w
[√x (2x6 - 4√3x) dx
X
63.
64.
65.
66.
dx
10t5 - 3
67.
ex+2
t
e2w 5e + 4
ew - 1
3
-
dt
x² + √x³) dx
4 cos w
dw
1+√x
dx
X
16 cos²w - 81 sin²w
-
dw

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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