Differentialrechnung

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(Integralfunktionen)
(Integralfunktionen)
Line 164: Line 164:
{|
{|
|Integralsinus
|Integralsinus
-
|<math>Si(x) = \int_0^x\frac{\sin t}t dt = </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>
|-
|-
|Integralcosinus
|Integralcosinus
Line 176: Line 177:
|-
|-
|Gaußsches Fehlerintegral
|Gaußsches Fehlerintegral
-
|<math>F(x) = \frac 1{\sqrt{2\pi}}\int_-\infty^xe^{-\frac{t^2} 2} dt = </math>
+
|<math>F(x) = \frac 1{\sqrt{2\pi}}\int_{-\infty}^xe^{-\frac{t^2} 2} dt = </math>
|}
|}
[[category:Mathematik]]
[[category:Mathematik]]

Revision as of 09:28, 17 September 2008

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