05 - Integration Substitution Trig PDF

Preview

Summary

Download 05 - Integration Substitution Trig PDF

Description

Kuta Software - Infinite Calculus

Name___________________________________

Integration by Substitution

Date________________ Period____

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

 20xsin (5x − 3) dx; u = 5x − 3

2)

 16x ⋅ sec (4x − 2) dx; u = 4x − 2

3)

 6e

4)

 sec (5 x + 5 ) dx; u = 5x + 5

2

3x

cos ( e

3x

2

− 5) dx; u = e

3x

−5

3

2

4

50x

4

2

2

Evaluate each indefinite integral. 5)

 −36 x sec (3 x + 3) ⋅ tan (3x + 3) dx

6)

 −9sec −3x ⋅ tan −3x ⋅ sec (sec −3 x) dx

7)



8)

 csc (x − 1) dx

3

−

4

5cos (−4 + ln 4x ) dx x

4

2

4x3 4

Kuta Software - Infinite Calculus

Name___________________________________

Integration by Substitution

Date________________ Period____

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

 20xsin (5x − 3) dx; u = 5x − 3 2

2

2)

−2cos (5x − 3) + C

 6e

3x

cos ( e

2sin (e

3x

3x

3

2

4

4

tan (4x 4 − 2 ) + C

2

3)

 16x ⋅ sec (4x − 2) dx; u = 4x − 2

− 5) dx; u = e

3x

−5

 sec (5 x + 5 ) dx; u = 5x + 5 50x

4)

2

2

5sin (5x2 + 5) + C

− 5 )+ C

Evaluate each indefinite integral. 5)

 −36 x sec (3 x + 3) ⋅ tan (3x + 3) dx 3

4

4

6)

−3sec (3x 4 + 3 ) + C

7)

−

5cos (−4 + ln 4x )

 −9sec −3x ⋅ tan −3x ⋅ sec (sec −3 x) dx 2

3tan (sec −3 x) + C

dx

x

−5sin (−4 + ln 4 x) + C

 csc (x − 1) dx 4x3

8)

4

−cos (x 4 − 1 ) + C

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