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Worksheet by Kuta Software LLC
Kuta Software - Infinite Calculus Name___________________________________
Period____Date________________
Integration Power Rule
Evaluate each indefinite integral.
1)
∫
−24
x
5
dx 2)
∫
−3
dx
3)
∫
−6
x
dx 4)
∫
12
x
2
dx
5)
∫
(
−24
x
5
− 10
x
)
dx 6)
∫
(
−9
x
2
+ 10
x
)
dx
7)
∫
4
x
−5
dx 8)
∫
−2
x
−3
dx
-1-
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Worksheet by Kuta Software LLC
9)
∫
(
−2
x
−3
+
20
x
−5
)
dx 10)
∫
(
−4
x
−3
−
20
x
−5
)
dx
11)
∫
(
−
4
x
3
−
8
x
5
)
dx 12)
∫
(
15
x
4
+
8
x
5
)
dx
13)
∫
−
14
x
5
2
2
dx 14)
∫
−
35
x
2
5
5
dx
15)
∫
−
5
3
x
2
3
dx 16)
∫
−
5
4
x
2
dx
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Calculus Name___________________________________
Period____Date________________
Integration Power Rule
Evaluate each indefinite integral.
1)
∫
−24
x
5
dx
−4
x
6
+
C
2)
∫
−3
dx
−3
x +
C
3)
∫
−6
x
dx
−3
x
2
+
C
4)
∫
12
x
2
dx
4
x
3
+
C
5)
∫
(
−24
x
5
− 10
x
)
dx
−4
x
6
− 5
x
2
+
C
6)
∫
(
−9
x
2
+ 10
x
)
dx
−3
x
3
+ 5
x
2
+
C
7)
∫
4
x
−5
dx
−
1
x
4
+
C
8)
∫
−2
x
−3
dx
1
x
2
+
C
-1-
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Worksheet by Kuta Software LLC
9)
∫
(
−2
x
−3
+
20
x
−5
)
dx
1
x
2
−
5
x
4
+
C
10)
∫
(
−4
x
−3
−
20
x
−5
)
dx
2
x
2
+
5
x
4
+
C
11)
∫
(
−
4
x
3
−
8
x
5
)
dx
2
x
2
+
2
x
4
+
C
12)
∫
(
15
x
4
+
8
x
5
)
dx
−
5
x
3
−
2
x
4
+
C
13)
∫
−
14
x
5
2
2
dx
−2
x
7
2
+
C
14)
∫
−
35
x
2
5
5
dx
−5
x
7
5
+
C
15)
∫
−
5
3
x
2
3
dx
−
x
5
3
+
C
16)
∫
−
5
4
x
2
dx
−2
x
5
4
+
C
-2-
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