integral from 0 to x^2 of sin(θ^2)

Lösung

\int_{0}^{x^{2}} sin (θ^{2}) d θ

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

Schritte zur Lösung

\int_{0}^{x^{2}} sin (θ^{2}) d θ

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} θ)]_{0}^{x^{2}}

Berechne die Grenzen:

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

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

\int_{\infty}^{0} \frac{1}{3 - 4 x} d x

\int_{0}^{2} 2 x d x

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\int_{0}^{1} (- ln (x))^{2} d x