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Beliebt Rechnen >

integral from 0 to 1 of t^2e^t

Lösung

\int_{0}^{1} t^{2} e^{t} d t

Lösung

e - 2

+1

Dezimale

0.71828 \dots

Schritte zur Lösung

\int_{0}^{1} t^{2} e^{t} d t

Wende die partielle Integration an

= [t^{2} e^{t} - \int 2 t e^{t} d t]_{0}^{1}

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

= [t^{2} e^{t} - 2 (e^{t} t - e^{t})]_{0}^{1}

Berechne die Grenzen:

e - 2

= e - 2

Graph

Beliebte Beispiele

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