Differentialrechnung
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|<math>\frac 1 {1-x^2}</math> | |<math>\frac 1 {1-x^2}</math> | ||
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| + | == Integrationsregeln == | ||
| + | <math>\int[f(x)+g(x)]dx = \int f(x)dx + \int g(x)dx</math> | ||
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== weitere Integrale == | == weitere Integrale == | ||
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|<math>\frac 1{sqrt{x^2-a^2}}</math> | |<math>\frac 1{sqrt{x^2-a^2}}</math> | ||
| - | |<math>\begin{cases}\operatorname{arcosh}\frac x a + C\\\ln \left(x+\sqrt{x^2-a^2} \right)+C\end{cases} | + | |<math>\begin{cases}\operatorname{arcosh}\frac x a + C,& |x|>a\\\ln \left(x+\sqrt{x^2-a^2} \right)+C\end{cases}</math> |
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[[category:Mathematik]] | [[category:Mathematik]] | ||
Revision as of 08:55, 17 September 2008
| Funktion | Ableitung | Integral |
Integrationsregeln
weitere Integrale
| Funktion | Integral |
