Indefinite integrals. Determine the following indefinite integrals. Check your work by differentiation. (Question 53 and 59)Answers are given 151. In y + C253.3 sin ¹x + C55.4 sec¹|x| + C-sec-¹|x| + C57. L59.163.65.-6t + ln |t| + C61.e+2+Ce4w + Cln x + 2√x + C 52.53./J54.55.56.57.I158.e2t - 159.et - 16JSS60.4-4x²v³+v+11+ v²4ανα2 –1225z²+251dtt + 1Stdttt² - e²tt + etdxx√36x² - 3649 – 49x²)-¹/2-dtdvdxdz-dxdx

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Answered: 53. 6 √4-4x² 3 dx

Math

Calculus

53. 6 √4-4x² 3 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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Question

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Indefinite integrals. Determine the following indefinite integrals. Check your work by differentiation. (Question 53 and 59) Answers are given

1
51. In y + C
2
53.3 sin ¹x + C
55.4 sec¹|x| + C
-sec-¹|x| + C
57. L
59.
1
63.
65.
-
6
t + ln |t| + C
61.e+2+C
e4w + C
ln x + 2√x + C

52.
53.
/
J
54.
55.
56.
57.
I
1
58.
e2t - 1
59.
et - 1
6
J
S
S
60.
4-4x²
v³+v+1
1+ v²
4
ανα2 –1
2
25z²+25
1
dt
t + 1
St
dt
t
t² - e²t
t + et
dx
x√36x² - 36
49 – 49x²)-¹/2
-dt
dv
dx
dz
-dx
dx

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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