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Beliebt Rechnen >

integral from 0 to 2 of x*e^{-x}

Lösung

\int_{0}^{2} x \cdot e^{- x} d x

Lösung

- \frac{3}{e ^{2}} + 1

+1

Dezimale

0.59399 \dots

Schritte zur Lösung

\int_{0}^{2} x e^{- x} d x

Wende die partielle Integration an

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

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

= [- e^{- x} x - e^{- x}]_{0}^{2}

Berechne die Grenzen:

- \frac{3}{e ^{2}} + 1

= - \frac{3}{e ^{2}} + 1

Graph

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