integral from 0 to 0.4 of sin(x^2)

Lösung

\int_{0}^{0.4} sin (x^{2}) d x

1.25331 \dots § (\frac{2}{π} \cdot 0.4) - 1.25331 \dots § (\frac{2}{π} \cdot 0)

Schritte zur Lösung

\int_{0}^{0.4} sin (x^{2}) d x

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} x)]_{0}^{0.4}

Vereinfache

= [1.25331 \dots § (\frac{2}{π} x)]_{0}^{0.4}

Berechne die Grenzen:

1.25331 \dots § (\frac{2}{π} \cdot 0.4) - 1.25331 \dots § (\frac{2}{π} \cdot 0)

= 1.25331 \dots § (\frac{2}{π} \cdot 0.4) - 1.25331 \dots § (\frac{2}{π} \cdot 0)

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