integral garis 2
DESCRIPTION
Matematika TeknikTRANSCRIPT
![Page 2: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/2.jpg)
Teorema Green’s
![Page 3: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/3.jpg)
Contoh 2 :
D(0,0)
F(1,1)
E(1,0)
G(0,1)
R
y
x0
thoerem.sGreen' verify and integral doble tointegral line eConvert th b.
G90,1) and F(1,1) E(1,0), D(0,0), rtices with ve
square theof sides thearound Evaluate a. 2dyxydxxR
+∫
![Page 4: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/4.jpg)
∫∫∫∫ ∫ +++=D
G
G
F
F
EC
E
D
[ ]21
211
2
0100
`1
210
0
1
1
0
2
=−=⎥⎦
⎤⎢⎣
⎡+=
+++=+ ∫∫ ∫xy
xdxdydyxxydxC
0to1fromdecreases and 00 GD,On 0to1fromdecreases and 01 FG,On
10 and 01 EF,On 10 and 00 DE,On
y, dxxx, dyy
y, dxxx, dyy
====
≤≤==≤≤==
D(0,0)
F(1,1)
E(1,0)
G(0,1)
R
y
x0
![Page 5: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/5.jpg)
Teorema Green’s
21
21
21
2
)2(
and2
),(and),(
1
0
1
0
1
0
1
0
2
1
0
1
0
2
2
=⎥⎦⎤
⎢⎣⎡=
=⎥⎦
⎤⎢⎣
⎡=
=
−=+
=∂∂
=∂∂
==
∫∫
∫∫∫∫∫
y
dyx
xdxdy
dxdyxxdyxxydx
xyPx
xQ
xyxQxyyxP
RC
![Page 6: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/6.jpg)
Integral garis
Contoh 2 :
![Page 7: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/7.jpg)
![Page 8: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/8.jpg)
Contoh 2 :
![Page 9: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/9.jpg)
![Page 10: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/10.jpg)
Integral Permukaan
![Page 11: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/11.jpg)
![Page 12: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/12.jpg)
Contoh 2 :
![Page 13: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/13.jpg)
![Page 14: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/14.jpg)
Contoh 2 :
![Page 15: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/15.jpg)
![Page 16: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/16.jpg)
![Page 17: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/17.jpg)
![Page 18: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/18.jpg)
Teorema Stoke’s
![Page 19: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/19.jpg)
Contoh 2 :
![Page 20: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/20.jpg)
![Page 21: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/21.jpg)
![Page 22: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/22.jpg)
Teorema Gauss
![Page 23: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/23.jpg)
Contoh 2 :
![Page 24: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/24.jpg)
![Page 25: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/25.jpg)
![Page 26: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/26.jpg)
![Page 27: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/27.jpg)
![Page 28: Integral Garis 2](https://reader036.vdocuments.site/reader036/viewer/2022062323/5695cf3d1a28ab9b028d36d7/html5/thumbnails/28.jpg)