itegral garis - universitas udayana...teorema stoke’s contoh 2 : teorema gauss contoh 2 : q y =...
TRANSCRIPT
![Page 2: ITEGRAL GARIS - Universitas Udayana...Teorema Stoke’s Contoh 2 : Teorema Gauss Contoh 2 : Q y = "3 A Z, a exist'* Limit* 0) . A C) (4, 2, 2žz; the t, we exezes.sed y, z and She](https://reader036.vdocument.in/reader036/viewer/2022081600/6092cd3cbded301b4b2e9716/html5/thumbnails/2.jpg)
Teorema Green’s
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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: ITEGRAL GARIS - Universitas Udayana...Teorema Stoke’s Contoh 2 : Teorema Gauss Contoh 2 : Q y = "3 A Z, a exist'* Limit* 0) . A C) (4, 2, 2žz; the t, we exezes.sed y, z and She](https://reader036.vdocument.in/reader036/viewer/2022081600/6092cd3cbded301b4b2e9716/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: ITEGRAL GARIS - Universitas Udayana...Teorema Stoke’s Contoh 2 : Teorema Gauss Contoh 2 : Q y = "3 A Z, a exist'* Limit* 0) . A C) (4, 2, 2žz; the t, we exezes.sed y, z and She](https://reader036.vdocument.in/reader036/viewer/2022081600/6092cd3cbded301b4b2e9716/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
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Integral garis
Contoh 2 :
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Contoh 2 :
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Integral Permukaan
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Contoh 2 :
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Contoh 2 :
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Teorema Stoke’s
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Contoh 2 :
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Teorema Gauss
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Contoh 2 :
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