Differentialrechnung

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m (Laplace-Transformation)
m (Integrationsregeln)
Line 111: Line 111:
<math>\int_a^a f(x) dx = 0</math>
<math>\int_a^a f(x) dx = 0</math>
-
<math>\int_a^b f(x)dx = \int_a^c f(x)dx + \int_c^b f(x)dx,\ c \epsilon [a, b]</math>
+
<math>\int_a^b f(x)dx = \int_a^c f(x)dx + \int_c^b f(x)dx,\ c \in[a, b]</math>
<math>\int_a^x f(t) dt = F(x)|_a^x = F(x) - F(a)\qquad</math> unbestimmtes Integral
<math>\int_a^x f(t) dt = F(x)|_a^x = F(x) - F(a)\qquad</math> unbestimmtes Integral

Revision as of 14:58, 17 September 2008

Contents

Ableitungen/Integrale

Funktion MathImage Ableitung MathImage Integral MathImage
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MathImage MathImage
MathImage MathImage
MathImage MathImage

Integrationsregeln

MathImage

MathImage

MathImage

MathImage

MathImage

MathImage

MathImage

MathImage unbestimmtes Integral

MathImage

MathImage

Integration durch Substitution:

MathImage oder

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partielle Integration:

MathImage oder MathImage oder

MathImage

weitere Integrale

Funktion MathImage Integral MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
MathImage MathImage
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MathImage MathImage
MathImage MathImage
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MathImage MathImage
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MathImage MathImage
MathImage MathImage(Kreisintegral)
MathImage MathImage
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Integralfunktionen

Integralsinus MathImage Eulersche Konstante MathImage
Integralcosinus MathImage
Exponentialintegral MathImage
Integrallogarithmus MathImage
Gaußsches Fehlerintegral MathImage


Fourier-Transformation

Bildfunktion MathImage


Laplace-Transformation

Originalfunktion, Oberfunktion:

MathImage

Laplace-Transformierte, Unterfunktion, Bildfunktion:

MathImage

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