Differentialrechnung

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(Integralfunktionen)
(Integrationsregeln)
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<math>\int f(x) dx = \int f[\varphi(t)] \dot\varphi(t) dt\qquad</math> Integration durch Substitution, <math>x=\varphi(t),\ dx=\dot\varphi(t)dt</math>
<math>\int f(x) dx = \int f[\varphi(t)] \dot\varphi(t) dt\qquad</math> Integration durch Substitution, <math>x=\varphi(t),\ dx=\dot\varphi(t)dt</math>
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<math>\int uv'\,dx = uv - \int vu'\,dx,\ u=u(x),\ v=v(x)\qquad</math> oder <math>\int u\,dv = uv-\int v\,du\qquad</math>partielle Integration
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partielle Integration:
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<math>\int uv'\,dx = uv - \int vu'\,dx,\ u=u(x),\ v=v(x)\qquad</math> oder <math>\int u\,dv = uv-\int v\,du</math> oder
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<math>\int_a^b u(x) v'(x) dx = [u(x) v(x)]_a^b - \int_a^b v(x) u'(x) dx</math>
== weitere Integrale ==
== weitere Integrale ==

Revision as of 09:48, 17 September 2008

Funktion MathImage Ableitung MathImage Integral MathImage
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Integrationsregeln

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MathImage unbestimmtes Integral

MathImage Integration durch Substitution, MathImage

partielle Integration:

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weitere Integrale

Funktion MathImage Integral MathImage
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Integralfunktionen

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