integral from x to 0 of cos(t^2)

Lösung

\int_{x}^{0} cos (t^{2}) d t

\frac{π}{2} C (\frac{2}{π} \cdot 0) - \frac{π}{2} C (\frac{2}{π} x)

Schritte zur Lösung

\int_{x}^{0} cos (t^{2}) d t

Das ist ein nicht elementares Integral :

\int cos (x^{2}) d x = \frac{π}{2} C (\frac{2}{π} x)

= [\frac{π}{2} C (\frac{2}{π} t)]_{x}^{0}

Berechne die Grenzen:

\frac{π}{2} C (\frac{2}{π} \cdot 0) - \frac{π}{2} C (\frac{2}{π} x)

= \frac{π}{2} C (\frac{2}{π} \cdot 0) - \frac{π}{2} C (\frac{2}{π} x)

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