Differentialrechnung
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(Difference between revisions)
m (→weitere Integrale) |
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| Line 70: | Line 70: | ||
|<math>\tanh x</math> | |<math>\tanh x</math> | ||
|<math>\frac 1 {\cosh^2 x} = 1-\tanh^2 x</math> | |<math>\frac 1 {\cosh^2 x} = 1-\tanh^2 x</math> | ||
| + | |<math>\ln \cosh x+C</math> | ||
|- | |- | ||
|<math>\coth x</math> | |<math>\coth x</math> | ||
|<math>-\frac 1 {sinh^2 x} = 1-coth^2 x</math> | |<math>-\frac 1 {sinh^2 x} = 1-coth^2 x</math> | ||
| + | |<math>\ln\,\left|\sinh x\right|+C</math> | ||
|- | |- | ||
|<math>\operatorname{arsinh} x</math> | |<math>\operatorname{arsinh} x</math> | ||
Revision as of 08:27, 17 September 2008
| Funktion | Ableitung | Integral |
weitere Integrale
| Funktion | Integral |
