integral from 0 to y of cos(y^2)

Lösung

\int_{0}^{y} cos (y^{2}) d y

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

Schritte zur Lösung

\int_{0}^{y} cos (y^{2}) d y

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} y)]_{0}^{y}

Berechne die Grenzen:

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

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

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