In Problems 45–50, the indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Then find it without using substitution. Check that your answers are equivalent . 49. ∫ 5 x 4 ( x 5 ) 4 d x
In Problems 45–50, the indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Then find it without using substitution. Check that your answers are equivalent . 49. ∫ 5 x 4 ( x 5 ) 4 d x
Solution Summary: The author explains how to calculate the value of the indefinite integral without using substitution method.
In Problems 45–50, the indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Then find it without using substitution. Check that your answers are equivalent.
49.
∫
5
x
4
(
x
5
)
4
d
x
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.
How many different passwords are there that contain only digits and lower-case letters and satisfy the given restrictions?
(a)
Length is 6 and the password must contain at least one digit.
(b)
Length is 6 and the password must contain at least one digit and at least one letter.
1: Neil Mitchell earns $11/hour. During the most recent week, he received a discretionary bonus of $7,200 and worked 43 hours.
Gross Pay: $
7,689.50
2: Francine Palmer earns $7.90/hour. During the most recent week, she received a nondiscretionary bonus of $2,450 and worked 45 hours.
Gross Pay: $
2,825.25
3: Martin Green earns $11.10/hour. During the most recent week, he received a nondiscretionary bonus of $1,360 and worked 51 hours.
Gross Pay: $
1,987.15
4: Melvin Waxman earns $17.60/hour. During the most recent week, he received a nondiscretionary bonus of $440 and worked 56 hours.
Gross Pay: $
1,425.60
Obtain the linear equation for trend for
time series with St² = 140, Ey = 16.91 and
Σty= 62.02, m n = 7
Chapter 5 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY