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

Lösung

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

\frac{π}{2} C (\frac{2}{π} x^{2}) - \frac{π}{2} C (\frac{2}{π} x)

Schritte zur Lösung

\int_{x}^{x^{2}} 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}^{x^{2}}

Berechne die Grenzen:

\frac{π}{2} C (\frac{2}{π} x^{2}) - \frac{π}{2} C (\frac{2}{π} x)

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

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