kalkulus aplikasi integral i
TRANSCRIPT
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McGraw-Hill/Irwin Copyright © 2008, The McGraw-Hill Companies, Inc. All rights reserved.
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Luas Diantara Dua Kurva
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Luas
![Page 4: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/4.jpg)
Contoh
Tentukan luas daerah diantara dua kurva dan untuk x = 0 dan x = 1. Penyelesaian
Misalkan dan , maka
untuk semua x di [0, 1].
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Contoh
Tentukan luas daerah dua kurva dan .
Penyelesaian
![Page 7: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/7.jpg)
Contoh
Tentukan luas gambar di bawah ini :
![Page 8: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/8.jpg)
atau
![Page 9: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/9.jpg)
Contoh
Tentukan luas daerah dua kurva dan
Penyelesaian
![Page 10: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/10.jpg)
![Page 11: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/11.jpg)
Contoh
Tentukan luas daerah dua kurva dan
Penyelesaian
![Page 12: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/12.jpg)
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Volume
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Volume
Volume
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Contoh :
Tentukan volume gambar di bawah ini :
![Page 19: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/19.jpg)
Penyelesaian
![Page 20: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/20.jpg)
Contoh :
Tentukan volume gambar di bawah ini :
![Page 21: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/21.jpg)
Penyelesaian
![Page 22: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/22.jpg)
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Ring
Volume
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Contoh :
Tentukan volume gambar di bawah ini :
![Page 26: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/26.jpg)
Penyelesaian
![Page 27: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/27.jpg)
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Volume
![Page 29: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/29.jpg)
![Page 30: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/30.jpg)
Contoh :
Tentukan volume y = x – x3 untuk .
Penyelesaian
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Contoh :
Tentukan volume untuk .
Penyelesaian :
![Page 33: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/33.jpg)
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Contoh :
Tentukan volume untuk y = 0, x = 0, dan x = 1.
Penyelesaian
Untuk
Untuk
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Contoh :
Tentukan volume gambar di bawah ini :
dengan
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Penyelesaian
![Page 39: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/39.jpg)
Contoh :
Tentukan volume , y = 1 dan x = 1, seperti gambar berikut :
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Penyelesaian
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Jarak
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Contoh :
Tentukan jarak ke untuk yang diperlihatkan gambar berikut :
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Contoh :
Tentukan jarak pada interval .
![Page 49: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/49.jpg)
Penyelesaian
![Page 50: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/50.jpg)
Contoh :
Tentukan jarak pada interval .
![Page 51: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/51.jpg)
Penyelesaian
![Page 52: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/52.jpg)
![Page 53: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/53.jpg)
Contoh :
Tentukan jarak untuk ke .
![Page 54: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/54.jpg)
Penyelesaian
![Page 55: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/55.jpg)
Contoh :
Sebuah kabel listrik digantungkan diantara dua tower yang berjarak 200 kaki, seperti yang terlihat pada gambar berikut :
Tentukan panjang kabel diantara dua tower tersebut.
![Page 56: Kalkulus aplikasi integral i](https://reader033.vdocuments.pub/reader033/viewer/2022061421/5591ff341a28ab40498b460e/html5/thumbnails/56.jpg)
Penyelesaian
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