05 - Integration Power Rule - Kuta Software

Kuta Software - Infinite Calculus

Name___________________________________

Integration Power Rule

Date________________ Period____

Evaluate each indefinite integral. 1)

∫ −24x dx

2)

∫ −3 dx

3)

∫

4)

∫

5)

∫ (−24x − 10x) dx 5

6)

∫ (−9x + 10x) dx

7)

∫ 4x

dx

8)

∫ −2x

5

−6 x dx

−5

©F s2Q0r143J GKQudtWab WSfosfDtvwWanraeI 8LvLuCK.C R nAklalX Pr9i8gBhrt2ss Nr4emsSeur4vuehdD.G L 2MCa2ddez CwjiytvhM KIUn0fGi0nWiptQei 5CcaEluc4uFlhuQsw.Q

-1-

12 x 2 dx

2

−3

dx

Worksheet by Kuta Software LLC

9)

∫ (−2x

11)

∫(

13)

15)

−

∫

∫

−

−

−3

+ 20 x

−5

) dx

)

8 4 − 5 dx 3 x x

14 x 2

5

3

10)

∫ (−4x

12)

∫(

5 2

x2

dx

dx

3

©9 x280z1537 TKsuHtQaY tS2oXfxtRwka1rRev eLXLBCl.O 4 KAnlUlI RrPirgChAtNs8 trFeKseeUrNvOeOd1.M f 1MFa5doep 2wTi8tahf 9Iin7fvignQiftBeD VCfailecuuyl7ujsP.W

14)

16)

-2-

∫

∫

−3

− 20 x

−5

) dx

)

15 8 + 5 dx 4 x x

−

−

35 x 5

5

4

2 5

x

dx

dx

2

Worksheet by Kuta Software LLC

Kuta Software - Infinite Calculus

Name___________________________________

Integration Power Rule

Date________________ Period____

Evaluate each indefinite integral. 1)

∫ −24x dx 5

2)

∫ −3 dx

−4 x 6 + C

3)

∫

−6 x dx

−3 x + C

4)

−3 x 2 + C

5)

∫ (−24x − 10x) dx 5

4x3 + C

6)

−4 x 6 − 5 x 2 + C

7)

∫ 4x −

−5

dx

∫ (−9x + 10x) dx 2

−3 x 3 + 5 x 2 + C

8)

1 +C x4

©5 U2k0J1A3R wKIuItwav YSio4fatnwCaDrIei yLGL8Cz.K t vAnlSlk drpiPgwhytRsg rrieAsheOrDvWekdQ.G G vMEaWdbel iwwimtHh9 iIPnZf9i9njivtre2 HCWaylxc7uxlQulsA.L

∫

12 x 2 dx

∫ −2x

−3

dx

1 +C x2

-1-

Worksheet by Kuta Software LLC

9)

∫ (−2x

−3

+ 20 x

−5

) dx

10)

1 5 − 4 +C 2 x x

11)

∫(

)

8 4 − 5 dx 3 x x

−

∫

−

14 x 2

12)

5 2

dx

14)

7 2

15)

∫

−

3

x2

− 20 x

−5

) dx

∫(

15 8 + 5 dx 4 x x

−

5 2 − +C x3 x4

∫

)

−

35 x 5

2 5

dx

7 5

−2 x + C

5

−3

2 5 + 4 +C 2 x x

2 2 + +C x2 x4

13)

∫ (−4x

−5 x + C

dx

3

16)

5 3

∫

−

5

4

x

dx

2 5 4

−x + C

−2 x + C

Create your own worksheets like this one with Infinite Calculus. Free trial available at KutaSoftware.com

©M v2J0g1k3I mKauttaa2 ZSdoxfUt2wCadrrer gLBLVCL.v 3 3ArltlH qrmidgIhSttsn 1rdezsJeBr9v4eqda.w s AM1abd5em JwziFtzhB KIsnQfYiKnfiwtReA nCiaqlZcpuDlhuVs2.g

-2-

Worksheet by Kuta Software LLC