Differentialrechnung
From SkyWiki
(Difference between revisions)
| Line 30: | Line 30: | ||
|<math>\ln x</math> | |<math>\ln x</math> | ||
|<math>\frac 1 x</math> | |<math>\frac 1 x</math> | ||
| - | |<math>-x + x\,\ln\,x + C</math> | + | |<math>-x + x\,\ln\,x+C</math> |
|- | |- | ||
|<math>\log_a x</math> | |<math>\log_a x</math> | ||
| Line 45: | Line 45: | ||
|<math>\tan x</math> | |<math>\tan x</math> | ||
|<math>\frac 1 {\cos^2 x} = 1+\tan^2 x</math> | |<math>\frac 1 {\cos^2 x} = 1+\tan^2 x</math> | ||
| + | |<math>-\ln|\cos\,x|+C</math> | ||
|- | |- | ||
|<math>\cot x</math> | |<math>\cot x</math> | ||
|<math>-\frac 1 {\sin^2 x} = -(1+\cot^2 x)</math> | |<math>-\frac 1 {\sin^2 x} = -(1+\cot^2 x)</math> | ||
| + | |<math>\ln|\sin\,x|+C</math> | ||
|- | |- | ||
|<math>\arcsin x</math> | |<math>\arcsin x</math> | ||
Revision as of 09:59, 17 September 2008
| Funktion | Ableitung | Integral |
Integrationsregeln
unbestimmtes Integral
Integration durch Substitution:
oder
partielle Integration:
oder
oder
weitere Integrale
| Funktion | Integral |
Integralfunktionen
| Integralsinus | Eulersche Konstante | |
| Integralcosinus | ||
| Exponentialintegral | ||
| Integrallogarithmus | ||
| Gaußsches Fehlerintegral |
