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II. Integration – 2. Itereret integral 184 x+h 1 = lim f(u)du h→0 h x f(x = lim h→0 ∗ )h h = f(x) 2.4. Stamfunktions botanik ☞ [S] 5.3 Evaluating definite integrals. . . 1 Stamfunktioner x n dx = 1 n + 1 xn+1 , n = −1 1 dx = ln(x) x e x dx = e x ln(x)dx = xln(x) − x a x dx = 1 ln(a) ax
II. Integration – 2. Itereret integral 185 2.5. Stamfunktions botanik ☞ [S] 5.3 Evaluating definite integrals. . . 1 Stamfunktioner - flere sin(x)dx = −cos(x) cos(x)dx = sin(x) 1 √ 1 − x 2 dx = sin−1 (x) 1 1 + x 2 dx = tan−1 (x) 2.6. Integral smertefrit ☞ [S] 5.4 The fundamental theorem of calculus Eksempel Beregn Løsning 4 (x 1 2 + x 3 )dx = 4 (x 1 2 + x 3 )dx x 3 3 + x4 4 4 1
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CALCULUS "SLIDES" TIL CALCULUS 1 +
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3. Generelle områder 201 4. Koordi
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Forord "Slides" til forelæsningern
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I. Differentiation - 1. Kontinuitet
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1. Grafiske/numeriske metoder IV Di
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1. Vektorer og matricer V Matricer
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V. Matricer - 4. Determinanter 419
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V. Matricer - 4. Determinanter = (
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1. Egenvektorer VI Egenvektorer og
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Litteratur • Arnold, Ordinary dif
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0-række/søjle, 423 n-te afsnitssu
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Identitetsmatricen, 383 Identitetsm
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etningsafledede, 89, 102 retningsfe
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