integral from-infinity to-4 of θe^θ

Lösung

\int_{- \infty}^{- 4} θ e^{θ} d θ

- \frac{5}{e ^{4}}

Dezimale

- 0.09157 \dots

Schritte zur Lösung

\int_{- \infty}^{- 4} θ e^{θ} d θ

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

\int_{- \infty}^{- 4} θ e^{θ} d θ = - \frac{5}{e ^{4}} - 0

= - \frac{5}{e ^{4}} - 0

Vereinfache

= - \frac{5}{e ^{4}}

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