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BAB 4. INTEGRAL LIPAT DUA - Blog

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72<br />

Maka diperoleh<br />

[ ]<br />

5<br />

36<br />

5<br />

2<br />

4<br />

2<br />

)<br />

2<br />

6<br />

(<br />

]}<br />

)<br />

(<br />

2<br />

[<br />

]<br />

2<br />

)<br />

2<br />

(<br />

2<br />

{[<br />

2<br />

)<br />

4<br />

(<br />

)<br />

4<br />

(<br />

2<br />

0<br />

5<br />

4<br />

3<br />

2<br />

0<br />

4<br />

3<br />

2<br />

2<br />

0<br />

3<br />

2<br />

2<br />

2<br />

2<br />

2<br />

0<br />

2<br />

2<br />

2<br />

0<br />

2<br />

2<br />

2<br />

=<br />

−<br />

+<br />

=<br />

−<br />

+<br />

=<br />

−<br />

−<br />

−<br />

=<br />

−<br />

=<br />

−<br />

=<br />

−<br />

=<br />

=<br />

=<br />

=<br />

=<br />

=<br />

y<br />

y<br />

y<br />

dy<br />

y<br />

y<br />

y<br />

dy<br />

y<br />

y<br />

y<br />

y<br />

dy<br />

xy<br />

x<br />

dxdy<br />

y<br />

x<br />

dA<br />

y<br />

x<br />

y<br />

x<br />

y<br />

x<br />

y<br />

y<br />

y<br />

x<br />

y<br />

x<br />

R<br />

(ii) Daerah R adalah sebagai berikut:<br />

Diperoleh<br />

.<br />

4<br />

2<br />

2<br />

sin<br />

4<br />

1<br />

)<br />

2<br />

cos<br />

1<br />

(<br />

4<br />

1<br />

2<br />

sin<br />

2<br />

0<br />

0<br />

0<br />

2<br />

0<br />

sin<br />

0<br />

2<br />

0<br />

sin<br />

0<br />

π<br />

π<br />

π<br />

π<br />

π<br />

π<br />

=<br />

−<br />

=<br />

−<br />

=<br />

=<br />

=<br />

=<br />

=<br />

=<br />

=<br />

=<br />

x<br />

x<br />

dx<br />

x<br />

dx<br />

x<br />

dx<br />

y<br />

dydx<br />

y<br />

dA<br />

y<br />

x<br />

x<br />

x<br />

x<br />

y<br />

y<br />

R<br />

x<br />

y<br />

x<br />

y sin<br />

=<br />

0<br />

=<br />

y<br />

0<br />

=<br />

x<br />

π<br />

=<br />

x

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