Kalkulus teknik integrasi 1
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Transcript of Kalkulus teknik integrasi 1
![Page 1: Kalkulus teknik integrasi 1](https://reader036.fdocuments.in/reader036/viewer/2022081506/558516b7d8b42a6f7f8b533b/html5/thumbnails/1.jpg)
McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. All rights reserved.
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Integral Trigonemetri
dxxnsin dan dxxncos
dxxx nm cossin dxxntan dan dxxncot
dxxx nm sectan dan dxxx nm csccot
,cossin dxnxmx ,sinsin dxnxmx dan dxnxmx coscos
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Jenis 3
1sectan 22 xx
Contoh :
.cot4 dxxTentukan
Penyelesaian
dxxxdxx 224 cotcotcot
dxxx )1)(csc(cot 22
dxxntan dan dxxncot
1csccot 22 xx
![Page 4: Kalkulus teknik integrasi 1](https://reader036.fdocuments.in/reader036/viewer/2022081506/558516b7d8b42a6f7f8b533b/html5/thumbnails/4.jpg)
dxxdxxx 222 cotcsccot
dxxx )1(csccot3
1 23
Contoh :
Tentukan
Penyelesaian
dxxxdxx 235 tantantan
dxx 5tan
cxxx cotcot3
1 3
dxxx )1(sectan 23
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dxxdxxx 323 tansectan
dxxxdxxx 223 tantansectan
dxxxdxxx )1(sectansectan 223
dxxdxxxdxxx tansectansectan 223
Cxxx coslntan2
1tan
4
1 24
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Contoh :
.cot5 dxxTentukan
Penyelesaian
dxxxdxx 325 cotcotcos
dxxx 32 cot1csc
dxxdxx 332 cotcotcsc
dxxxdxx cotcotcotcsc 232
xdxxxdxx cotcotcsccotcsc 232
Cxxx sinlncot2
1cot
4
1 24
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Contoh :
Tentukan
Penyelesaian
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Jenis 4
n genap, m sebarang
Contoh :
Tentukan
Penyelesaian
dxxx 4sectan 23
dxxx nm sectan dan dxxx nm csccot
dxxxxdxxx ))(sec(sectansectan 224 23
23
dxxxx ))(sectan1(tan 2223
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dxxxxx 22 sectansectan 21
23
Cxx 23
21
tan3
2tan2
m ganjil, n sebarang
Contoh :
Tentukan
Penyelesaian
dxxx 21
sectan3
dxxxxxdxxx )tan(secsec)(tansectan 23
21 23
dxxxxx )tan(secsec)1(sec 232
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dxxxxdxxxx )tan)(sec(sec)tan(sec)(sec 23
21
Cxx 21
23
sec2sec3
2
Contoh :
Tentukan
Penyelesaian
![Page 11: Kalkulus teknik integrasi 1](https://reader036.fdocuments.in/reader036/viewer/2022081506/558516b7d8b42a6f7f8b533b/html5/thumbnails/11.jpg)
Contoh :
Tentukan
Penyelesaian
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Jenis 5
,cossin dxnxmx ,sinsin dxnxmx dan dxnxmx coscos
![Page 14: Kalkulus teknik integrasi 1](https://reader036.fdocuments.in/reader036/viewer/2022081506/558516b7d8b42a6f7f8b533b/html5/thumbnails/14.jpg)
Contoh :
Tentukan
Penyelesaian
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