integral from 6 to infinity of-xe^{-x}

Lösung

\int_{6}^{\infty} - x e^{- x} d x

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

Dezimale

- 0.01735 \dots

Schritte zur Lösung

\int_{6}^{\infty} - x e^{- x} d x

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

\int_{6}^{\infty} - x e^{- x} d x = 0 - \frac{7}{e ^{6}}

= 0 - \frac{7}{e ^{6}}

Vereinfache

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

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