Differentialrechnung
From SkyWiki
(Difference between revisions)
(→Integralfunktionen) |
(→Integralfunktionen) |
||
Line 164: | Line 164: | ||
{| | {| | ||
|Integralsinus | |Integralsinus | ||
- | |<math>Si(x) = \int_0^x\frac{\sin t}t dt = C+\ln|x|-\frac{x^2}{2\cdot 2!}+\frac{x^4}{4\cdot 4!}-\frac{x^6}{6\cdot 6!} + - \cdots,\ |x|<\infty</math> | + | |<math>Si(x) = \int_0^x\frac{\sin\,t}t dt = C+\ln|x|-\frac{x^2}{2\cdot 2!}+\frac{x^4}{4\cdot 4!}-\frac{x^6}{6\cdot 6!} + - \cdots,\ |x|<\infty</math> |
|Eulersche Konstante <math>C =0,5772...</math> | |Eulersche Konstante <math>C =0,5772...</math> | ||
|- | |- | ||
|Integralcosinus | |Integralcosinus | ||
- | |<math>Ci(x) = \int_x^\infty\frac{\cos t}t dt = </math> | + | |<math>Ci(x) = \int_x^\infty\frac{\cos\,t}t dt = C+\ln|x|+\frac{x}{1\cdot 1!}+\frac{x^2}{2\cdot 2!}-\frac{x^3}{3\cdot 3!} + - \cdots,\ |x|<0</math> |
|- | |- | ||
|Exponetialintegral | |Exponetialintegral |
Revision as of 09:30, 17 September 2008
Funktion | Ableitung | Integral |
Integrationsregeln
unbestimmtes Integral
Integration durch Substitution,
oder partielle Integration
weitere Integrale
Funktion | Integral |
Integralfunktionen
Integralsinus | Eulersche Konstante | |
Integralcosinus | ||
Exponetialintegral | ||
Integrallogarithmus | ||
Gaußsches Fehlerintegral |