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Beliebt Rechnen >

integral from 0 to 1 of xe^{-x}

Lösung

\int_{0}^{1} x e^{- x} d x

Lösung

- \frac{2}{e} + 1

+1

Dezimale

0.26424 \dots

Schritte zur Lösung

\int_{0}^{1} x e^{- x} d x

Wende die partielle Integration an

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

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

= [- e^{- x} x - e^{- x}]_{0}^{1}

Berechne die Grenzen:

- \frac{2}{e} + 1

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

Graph

Beliebte Beispiele

integral of e^{-2x}+2/(7sqrt(x))

\int e^{- 2 x} + \frac{2}{7 x} d x

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\int \frac{ln ( 5 x ) + 5}{x} d x

integral from 7 to 9 of 1/(x^2-1)

\int_{7}^{9} \frac{1}{x ^{2} - 1} d x

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\frac{d}{d x} (x^{3} + x^{2} + \frac{6}{x})

derivative of (x^2-1/x)

\frac{d}{d x} (\frac{x ^{2} - 1}{x})