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II. Integration – 2. Itereret integral 186 = ( 43 3 = ( 64 3 = 339 4 44 14 + ) − (13 + 4 3 4 ) 1 + 64) − (1 + 3 4 ) 2.7. Integral af integral Definition ☞ [S] 12.2 Iterated integrals Antag f : [a,b] × [c,d] → R er kontinuert. For x ∈ [a,b] er det partielle integral d 1 A(x) = f(x,y)dy og det itererede integral 2 c b b d A(x)dx = f(x,y)dydx a a 2.8. Integral integral avet om ☞ [S] 12.2 Iterated integrals Definition I modsat rækkefølge c
II. Integration – 2. Itereret integral 187 Det partielle integral og det itererede integral 3 b A(y) = f(x,y)dx a d d b A(y)dy = f(x,y)dxdy c c 2.9. Beregn integral integral ☞ [S] 12.2 Iterated integrals Eksempel 1 R = [0,3] × [1,2], f(x,y) = x 2 y Partial integral A(x) = = 2 a x 2 y dy 1 y=2 2 y2 x 2 y=1 = x 2 22 2 − x2 12 2 = 3 2 x2
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CALCULUS "SLIDES" TIL CALCULUS 1 +
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3. Generelle områder 201 4. Koordi
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