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Beliebt Rechnen >

integral of x^2e^{x^2}x

Lösung

\int x^{2} \cdot e^{x^{2}} \cdot x d x

Lösung

\frac{1}{2} e^{x^{2}} x^{2} - \frac{1}{2} e^{x^{2}} + C

Schritte zur Lösung

\int x^{2} e^{x^{2}} x d x

Wende die partielle Integration an

= \frac{1}{2} e^{x^{2}} x^{2} - \int e^{x^{2}} x d x

\int e^{x^{2}} x d x = \frac{1}{2} e^{x^{2}}

= \frac{1}{2} e^{x^{2}} x^{2} - \frac{1}{2} e^{x^{2}}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{2} e^{x^{2}} x^{2} - \frac{1}{2} e^{x^{2}} + C

Graph

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