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Beliebt Rechnen >

integral of r^2e^r

Lösung

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

Lösung

r^{2} e^{r} - 2 (e^{r} r - e^{r}) + C

Schritte zur Lösung

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

Wende die partielle Integration an

= r^{2} e^{r} - \int 2 r e^{r} d r

\int 2 r e^{r} d r = 2 (e^{r} r - e^{r})

= r^{2} e^{r} - 2 (e^{r} r - e^{r})

Füge eine Konstante zur Lösung hinzu

= r^{2} e^{r} - 2 (e^{r} r - e^{r}) + C

Graph

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