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Beliebt Rechnen >

integral from 0 to 2 of xe^{-x}

Lösung

\int_{0}^{2} x 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

Beliebte Beispiele

limit as x approaches 0 of (x-2)e^{-1/x}

x \to 0 lim ((x - 2) e^{- \frac{1}{x}})

x((dy)/(dx))=2x+2y

x (\frac{d y}{d x}) = 2 x + 2 y

integral of 1/(1+29x)

\int \frac{1}{1 + 29 x} d x

limit as x approaches 0 of-3/x

x \to 0 lim (- \frac{3}{x})

integral of x^8ln(x)

\int x^{8} ln (x) d x