05 - Integration Substitution Inv Trig - Kuta Software

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Kuta Software - Infinite Calculus. Name___________________________________. Period____. Date________________. Integratio
Kuta Software - Infinite Calculus

Name___________________________________

Integration by Substitution

Date________________ Period____

Evaluate each indefinite integral. Use the provided substitution. 1)



3)



20 x 3 25 − 25 x 8

dx; u = 5 x

4

2 ⋅ csc 2 2 x



cot (2 x) ⋅

cot 2 2 x − 1

dx; u = cot 2 x

2)



4)



6)

∫x

8)



10 x 4 dx; u = 2 x 5 9 + 4 x 10

1 x 25 − (ln −2 x ) 2

dx; u = ln −2 x

Evaluate each indefinite integral. 5)



9 − 16 x 4

7)



10 x dx 16 + 25 x 4

8x

dx

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3x2 3

x6 − 1

dx

4sin 4 x

dx

9 − cos 2 4 x

Worksheet by Kuta Software LLC

Kuta Software - Infinite Calculus

Name___________________________________

Integration by Substitution

Date________________ Period____

Evaluate each indefinite integral. Use the provided substitution. 1)



20 x 3 25 − 25 x 8 sin

3)



−1

dx; u = 5 x

4

2)



1 2x5 ⋅ tan −1 +C 3 3

5x4 +C 5

2 ⋅ csc 2 2 x



cot (2 x) ⋅

cot 2 2 x − 1

10 x 4 dx; u = 2 x 5 9 + 4 x 10

dx; u = cot 2 x

4)



sec −1 cot 2 x + C

1 x 25 − (ln −2 x ) 2 sin −1

dx; u = ln −2 x

ln −2 x +C 5

Evaluate each indefinite integral. 5)



8x 9 − 16 x 4 sin −1

7)



dx

6)

∫x

4x2 +C 3

10 x dx 16 + 25 x 4 1 5x2 ⋅ tan −1 +C 4 4

3x2 3

x6 − 1

dx

sec −1 x 3 + C

8)



4sin 4 x



dx

9 − cos 2 4 x sin −1

cos 4 x +C 3

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Worksheet by Kuta Software LLC