Integrate each of the following functions using substitution, finding the most general antiderivative. Also enter u, the function of x that you substitute. If your answer requires a constant of integration, enter it as c. [5x²¹ √x³ + 2 dx_ a. U = X
Integrate each of the following functions using substitution, finding the most general antiderivative. Also enter u, the function of x that you substitute. If your answer requires a constant of integration, enter it as c. [5x²¹ √x³ + 2 dx_ a. U = X
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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![Integrate each of the following functions using substitution, finding the most general antiderivative.
Also enter u, the function of x that you substitute.
If your answer requires a constant of integration, enter it as c.
2√5x² √25
a.
b.
C.
U =
U =
J
5x+√x5 + 2 dx
f.
3x² + 2
√x³ + 2x + 1
U =
J
e.
U =
J
U =
(In x)
X
U =
d. 2¹ (3x² + 2)¹ dx
J
dx
x²
3x³ +3
x²
5r3+1
=
dx
dx
symbolic formatting help
=
=
dx
=
=
✪
✪
✪](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d7e592c-743b-41ca-8c45-a73d8bec675b%2Feb04dcc2-e8cf-4d7b-8038-a9ddb5a03577%2Fyhf804f_processed.png&w=3840&q=75)
Transcribed Image Text:Integrate each of the following functions using substitution, finding the most general antiderivative.
Also enter u, the function of x that you substitute.
If your answer requires a constant of integration, enter it as c.
2√5x² √25
a.
b.
C.
U =
U =
J
5x+√x5 + 2 dx
f.
3x² + 2
√x³ + 2x + 1
U =
J
e.
U =
J
U =
(In x)
X
U =
d. 2¹ (3x² + 2)¹ dx
J
dx
x²
3x³ +3
x²
5r3+1
=
dx
dx
symbolic formatting help
=
=
dx
=
=
✪
✪
✪
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