05 - Integration Power Rule - Kuta Software

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Kuta Software - Infinite Calculus
Name___________________________________
Integration Power Rule
Evaluate each indefinite integral.
Date________________ Period____
1)
∫
−24x 5 dx2)
∫
−3 dx
3)
∫
−6x dx4)
∫
12x 2 dx
5)
∫
(−24x 5 − 10x) dx 6)
∫
(−9x 2 + 10x) dx
7)
∫
4x −5 dx 8)
∫
−2x −3 dx

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9)
∫
(−2x −3 + 20x −5 ) dx 10)
∫
(−4x −3 − 20x −5 ) dx
11)
∫
(
− −
3
4x 8
x ) 5
dx 12)
∫
( 15
x + 8
4 x ) dx 5
13)
∫
− 14x 5
2
2
dx 14)
∫
− 35x 2
5
5
dx
15)
∫
− 5 3 x 2
3
dx 16)
∫
− 5 4 x
2
dx

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Kuta Software - Infinite Calculus
Name___________________________________
Integration Power Rule
Evaluate each indefinite integral.
Date________________ Period____
1)
∫
−24x 5 dx
2)
∫
−3 dx
−4x 6 + C
−3x + C
3)
∫
−6x dx
−3x 2 + C
4)
∫
12x 2 dx
4x 3 + C
5)
∫
(−24x 5 − 10x) dx
−4x 6 − 5x 2 + C
6)
∫
(−9x 2 + 10x) dx
−3x 3 + 5x 2 + C
7)
∫
4x −5 dx
− 1
x 4 + C 8)
∫
−2x −3 dx
1
x 2 + C

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9)
∫
(−2x −3 + 20x −5 ) dx
10)
1
x − 5 2 x + C 4
∫
(−4x −3 − 20x −5 ) dx
2
x 2 + 5 x 4 + C
11)
∫
(
− −
3
4x 8
x ) dx
12)
5
2
x + 2 2 x + C 4
∫
( 15
x + 8
4 x ) dx 5
− 5
x 3 − 2 x 4 + C
13)
∫
− 14x 5
2
2
dx
14)
∫
− 35x 2
5
5
dx
7
−2x
2 + C
7
−5x
5 + C
15)
∫
− 5 3 x 2
3
dx
16)
∫
− 5 4 x
2
dx
5
−x
3 + C
5
−2x
4 + C
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