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Beliebt Rechnen >

integral from 1 to infinity of xe^{-13x}

Lösung

\int_{1}^{\infty} x e^{- 13 x} d x

Lösung

\frac{14}{169 e ^{13}}

+1

Dezimale

1.87246 E - 7

Schritte zur Lösung

\int_{1}^{\infty} x e^{- 13 x} d x

Berechne das unbestimmte Integral:

\int x e^{- 13 x} d x = \frac{1}{169} (- 13 e^{- 13 x} x - e^{- 13 x}) + C

Berechne die Grenzen:

\int_{1}^{\infty} x e^{- 13 x} d x = 0 - (- \frac{14}{169 e ^{13}})

= 0 - (- \frac{14}{169 e ^{13}})

Vereinfache

= \frac{14}{169 e ^{13}}

Beliebte Beispiele

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