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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.2: Integration By Parts
Problem 34E
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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
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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