Differentialrechnung

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(Integralfunktionen)
(Integralfunktionen)
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{|
{|
|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

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