[22¹ sin (2³ - 1) da

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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The following integral can be evaluated by using substitution:
a)
Identify the inside function. u =
du
Differentiate: =
da
Make de the subject: dx
=
[2
2x¹ sin(x5-1) dx
Transcribed Image Text:The following integral can be evaluated by using substitution: a) Identify the inside function. u = du Differentiate: = da Make de the subject: dx = [2 2x¹ sin(x5-1) dx
b)
Rewrite the whole integral in terms of u and du: f
Simplify and cancel x's: f
Integrate with respect to u:
du
du
Transcribed Image Text:b) Rewrite the whole integral in terms of u and du: f Simplify and cancel x's: f Integrate with respect to u: du du
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Follow-up Question

answer C and D of the same question. thanks 

d)
Evaluate the definite integral, correct to 1 decimal place:
S
π
2x¹ sin(x5 - 1) dx
Transcribed Image Text:d) Evaluate the definite integral, correct to 1 decimal place: S π 2x¹ sin(x5 - 1) dx
c)
Hence write down the indefinite integral:
2x¹ sin(x5 - 1) dx
(Don't forget the constant of integration as this is an indefinite integral.)
Transcribed Image Text:c) Hence write down the indefinite integral: 2x¹ sin(x5 - 1) dx (Don't forget the constant of integration as this is an indefinite integral.)
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Follow-up Question

part a last answer is wrong. part b last answer is wrong , please check both of them . thanks 

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