tugas 3 kalkulus lanjut - hrisdianto.files.wordpress.com · tugas 3 kalkulus lanjut heri risdianto...

2
Tugas 3 Kalkulus Lanjut Heri Risdianto TUGAS 3 KALKULUS LANJUT NAMA : HERI RISDIANTO NIM : 8106172005 1. L ( t e -2t cos2t ) = Penyelesaian L ( t e -2t cos2t ) 4 ) 2 ( 2 1 2 s s ds d 8 4 2 1 2 s s s ds d 2 2 2 ) 8 4 ( ) 2 )( 4 2 ( ) 8 4 ( 1 s s s s s s 2 2 2 2 ) 8 4 ( ) 8 8 2 8 4 1 s s s s s s 2 2 2 ) 8 4 ( 4 1 s s s s 2 2 2 ) 8 4 ( 4 s s s s 2. L ( t e -t cost ) = Penyelesaian L ( t e -2t cos2t ) 1 ) 1 ( 1 1 2 s s ds d 2 2 1 1 2 s s s ds d 2 2 2 ) 2 2 ( ) 1 )( 2 2 ( ) 2 2 ( 1 s s s s s s 2 2 2 2 ) 2 2 ( ) 2 4 2 2 1 s s s s s s 2 2 2 ) 2 2 ( 2 1 s s s s 2 2 2 ) 2 2 ( 2 s s s s

Upload: trantruc

Post on 10-Mar-2019

491 views

Category:

Documents


10 download

TRANSCRIPT

Page 1: Tugas 3 Kalkulus Lanjut - hrisdianto.files.wordpress.com · Tugas 3 Kalkulus Lanjut Heri Risdianto TUGAS 3 KALKULUS LANJUT NAMA : HERI RISDIANTO NIM : 8106172005 1. L( t e-2t cos2t

Tugas 3 Kalkulus Lanjut

Heri Risdianto

TUGAS 3 KALKULUS LANJUT

NAMA : HERI RISDIANTO

NIM : 8106172005

1. L ( t e-2t cos2t ) =Penyelesaian

L ( t e-2t cos2t )

4)2(

21

2s

s

ds

d

84

21

2 ss

s

ds

d

22

2

)84(

)2)(42()84(1

ss

ssss

22

22

)84(

)882841

ss

ssss

22

2

)84(

41

ss

ss

22

2

)84(

4

ss

ss

2. L ( t e-t cost ) =Penyelesaian

L ( t e-2t cos2t )

1)1(

11

2s

s

ds

d

22

11

2 ss

s

ds

d

22

2

)22(

)1)(22()22(1

ss

ssss

22

22

)22(

)24221

ss

ssss

22

2

)22(

21

ss

ss

22

2

)22(

2

ss

ss

Page 2: Tugas 3 Kalkulus Lanjut - hrisdianto.files.wordpress.com · Tugas 3 Kalkulus Lanjut Heri Risdianto TUGAS 3 KALKULUS LANJUT NAMA : HERI RISDIANTO NIM : 8106172005 1. L( t e-2t cos2t

Tugas 3 Kalkulus Lanjut

Heri Risdianto

3. L ( t 2 e-2t sin2t ) =Penyelesaian

L (t2 e-2t sin2t )

4)2(

2)1(

22

22

sds

d

84

222

2

ssds

d

22 )84(

2)42(

ss

s

ds

d

22 )84(

84

ss

s

ds

d

222

222

))84((

)84)(42()84(2)84(4

ss

ssssss

222

22

))84((

)84)(42(2)84(4()84(

ss

ssssss

32

2

)24(

)84)(42(2)84(4(

ss

ssss

22

2

)24(

324812

ss

ss

22

2

)24(

)8123(4

ss

ss