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Web skærmformat. - Aarhus Universitet

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II. Integration – 2. Itereret integral 188<br />

2.10. Fortsat ☞ [S] 12.2 Iterated integrals<br />

Eksempel 1 - fortsat<br />

Itereret integral<br />

3 2<br />

0<br />

1<br />

A(x) = 3<br />

2 x2<br />

3<br />

x 2 3<br />

y dydx =<br />

0 2 x2 dx<br />

= 3<br />

3 3 x<br />

2 3<br />

= 3 3<br />

2<br />

3<br />

3<br />

= 27<br />

2<br />

2.11. Fortsat avet om ☞ [S] 12.2 Iterated integrals<br />

Eksempel 1 - fortsat<br />

R = [0,3] × [1,2], f(x,y) = x 2 y<br />

Partial integral<br />

A(y) =<br />

3<br />

0<br />

x 2 y dx<br />

0

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