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
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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
=
=
✪
✪
✪
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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