Differentialrechnung
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(Difference between revisions)
(→weitere Integrale) |
(→weitere Integrale) |
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|<math>\arctan x+C</math> | |<math>\arctan x+C</math> | ||
|- | |- | ||
| - | |<math></math> | + | |<math>\frac 1{\cosh^2 x}</math> |
| - | |<math></math> | + | |<math>\tanh x+C</math> |
|- | |- | ||
| - | |<math></math> | + | |<math>\frac 1{\sinh^2 x}</math> |
| - | |<math></math> | + | |<math>-\coth x+C</math> |
|- | |- | ||
| - | |<math></math> | + | |<math>\frac 1{\sqrt{1+x^2}}</math> |
| - | |<math></math> | + | |<math>\operatorname{arsinh} x+C = \ln\, \left|x+\sqrt{x^2+1}\right|+C</math> |
|- | |- | ||
| - | |<math></math> | + | |<math>\frac 1{\sqrt{x^2-1}}</math> |
| - | |<math></math> | + | |<math>\operatorname{arcosh} x+C = \ln\, \left|x+\sqrt{x^2-1}\right|+C</math> |
|- | |- | ||
|<math></math> | |<math></math> | ||
Revision as of 07:33, 17 September 2008
| Funktion | Ableitung | Integral |
weitere Integrale
| Funktion | Integral |
