integral from 0 to 6 of te^{-t}

Lösung

\int_{0}^{6} t e^{- t} d t

- \frac{7}{e ^{6}} + 1

Dezimale

0.98264 \dots

Schritte zur Lösung

\int_{0}^{6} t e^{- t} d t

Wende die partielle Integration an

= [- e^{- t} t - \int - e^{- t} d t]_{0}^{6}

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

= [- e^{- t} t - e^{- t}]_{0}^{6}

Berechne die Grenzen:

- \frac{7}{e ^{6}} + 1

= - \frac{7}{e ^{6}} + 1

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