04.05.2013 Views

BAB 4. INTEGRAL LIPAT DUA - Blog

BAB 4. INTEGRAL LIPAT DUA - Blog

BAB 4. INTEGRAL LIPAT DUA - Blog

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

71<br />

Penyelesaian.<br />

.<br />

-<br />

-<br />

)<br />

x<br />

-<br />

x<br />

x<br />

x<br />

-<br />

x<br />

(<br />

dx<br />

x<br />

-<br />

x<br />

x<br />

x<br />

-<br />

x<br />

x<br />

)dx<br />

)<br />

x<br />

-(<br />

)<br />

x<br />

((<br />

)<br />

x<br />

-<br />

x<br />

x(<br />

y)dydx<br />

(x<br />

y)dA<br />

(x<br />

-<br />

-<br />

R<br />

-<br />

x<br />

x<br />

2<br />

2<br />

1<br />

1<br />

2<br />

3<br />

1<br />

1<br />

2<br />

1<br />

2<br />

3<br />

4<br />

1<br />

2<br />

1<br />

4<br />

2<br />

3<br />

3<br />

2<br />

3<br />

2<br />

2<br />

1<br />

2<br />

3<br />

2<br />

1<br />

3<br />

3<br />

5<br />

3<br />

4<br />

2<br />

1<br />

1<br />

4<br />

4<br />

2<br />

3<br />

3<br />

1<br />

1<br />

2<br />

2<br />

2<br />

2<br />

2<br />

2<br />

1<br />

1<br />

1<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 />

Contoh <strong>4.</strong>6 : Tentukan<br />

R<br />

dA<br />

y<br />

x<br />

f )<br />

,<br />

( jika:<br />

{ }<br />

(-2,1)<br />

and<br />

(3,1)<br />

(0,0),<br />

sudut<br />

titik<br />

-<br />

ik<br />

dengan tit<br />

segitiga<br />

;<br />

)<br />

,<br />

(<br />

(iii)<br />

sin<br />

dan<br />

0<br />

,<br />

,<br />

0<br />

oleh<br />

dibatasi<br />

yang<br />

daerah<br />

;<br />

)<br />

,<br />

(<br />

(ii)<br />

2<br />

0<br />

,<br />

2<br />

:<br />

)<br />

,<br />

(<br />

;<br />

4<br />

)<br />

,<br />

(<br />

(i)<br />

2<br />

2<br />

R<br />

xy<br />

y<br />

x<br />

f<br />

x<br />

y<br />

y<br />

x<br />

x<br />

R<br />

y<br />

y<br />

x<br />

f<br />

y<br />

y<br />

x<br />

y<br />

y<br />

x<br />

R<br />

y<br />

x<br />

y<br />

x<br />

f<br />

=<br />

=<br />

=<br />

=<br />

=<br />

=<br />

≤<br />

≤<br />

≤<br />

≤<br />

=<br />

−<br />

=<br />

π<br />

Penyelesaian.<br />

(i). Daerah R adalah sebagai berikut<br />

x<br />

y<br />

2<br />

=<br />

y<br />

0<br />

=<br />

y<br />

y<br />

x 2<br />

=<br />

2<br />

y<br />

x =

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!