integral from x to sqrt(pi of)sin(y^2)

Lösung

\int_{x}^{π} sin (y^{2}) d y

\frac{π}{2} § (\frac{2}{π} π) - \frac{π}{2} § (\frac{2}{π} x)

Schritte zur Lösung

\int_{x}^{π} sin (y^{2}) d y

Das ist ein nicht elementares Integral :

\int sin (x^{2}) d x = \frac{π}{2} § (\frac{2}{π} x)

= [\frac{π}{2} § (\frac{2}{π} y)]_{x}^{π}

Berechne die Grenzen:

\frac{π}{2} § (\frac{2}{π} π) - \frac{π}{2} § (\frac{2}{π} x)

= \frac{π}{2} § (\frac{2}{π} π) - \frac{π}{2} § (\frac{2}{π} x)

\int_{1}^{2} x ln (x - 1) d x

\int_{2}^{x^{2}} 1 + x^{2} d x

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