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Beliebt Rechnen >

integral of 3te^t

Lösung

\int 3 t e^{t} d t

Lösung

3 (e^{t} t - e^{t}) + C

Schritte zur Lösung

\int 3 t e^{t} d t

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int t e^{t} d t

Wende die partielle Integration an

= 3 (e^{t} t - \int e^{t} d t)

\int e^{t} d t = e^{t}

= 3 (e^{t} t - e^{t})

Füge eine Konstante zur Lösung hinzu

= 3 (e^{t} t - e^{t}) + C

Graph

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