integral from-infinity to 0 of θe^θ

Lösung

\int_{- \infty}^{0} θ e^{θ} d θ

- 1

Schritte zur Lösung

\int_{- \infty}^{0} 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}^{0} θ e^{θ} d θ = - 1 - 0

= - 1 - 0

Vereinfache

= - 1

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