Use a change of variables or the table to evaluate the following indefinite integral. √x³ (x²-5) d dx Click the icon to view the table of general integration formulas. √x³ (x²-5) dx = 0 General Integration Formulas I
Use a change of variables or the table to evaluate the following indefinite integral. √x³ (x²-5) d dx Click the icon to view the table of general integration formulas. √x³ (x²-5) dx = 0 General Integration Formulas I
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
![F
Use a change of variables or the table to evaluate the following indefinite integral.
√x³ (x²-5) d
dx
Click the icon to view the table of general integration formulas.
√x²³(x²-5) =
dx
General Integration Formulas
1
cos ax dx = -s
a
sec ax dx:
_dx
sec ax tan ax dx =
a +x
√√²-1²² +0
+C
S-
sin ax + C
dx
2
x√x².
1
a
a
tan ax + C
1
- tan
a
1
a
1
a sec ax + C
-1 X
a
sec
+C
¹||+
+ C, a>0
1
sin ax dx=-cos ax + C
a
1
csc²ax dx=-cot ax + C
a
D
csc ax cot ax dx = -
dx
√₂²
1
Sbxdx=b+C, b>0, b#1
In b
X
a
csc ax + C
== sin ¹+C, a>0
- X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45658af6-e14b-4a46-aa89-70eedeb67043%2F51f3446a-a771-45ad-a358-141eb9bfa70c%2Flbqep8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:F
Use a change of variables or the table to evaluate the following indefinite integral.
√x³ (x²-5) d
dx
Click the icon to view the table of general integration formulas.
√x²³(x²-5) =
dx
General Integration Formulas
1
cos ax dx = -s
a
sec ax dx:
_dx
sec ax tan ax dx =
a +x
√√²-1²² +0
+C
S-
sin ax + C
dx
2
x√x².
1
a
a
tan ax + C
1
- tan
a
1
a
1
a sec ax + C
-1 X
a
sec
+C
¹||+
+ C, a>0
1
sin ax dx=-cos ax + C
a
1
csc²ax dx=-cot ax + C
a
D
csc ax cot ax dx = -
dx
√₂²
1
Sbxdx=b+C, b>0, b#1
In b
X
a
csc ax + C
== sin ¹+C, a>0
- X
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