integral from-infinity to-1 of θe^θ

Lösung

\int_{- \infty}^{- 1} θ e^{θ} d θ

- \frac{2}{e}

Dezimale

- 0.73575 \dots

Schritte zur Lösung

\int_{- \infty}^{- 1} 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}^{- 1} θ e^{θ} d θ = - \frac{2}{e} - 0

= - \frac{2}{e} - 0

Vereinfache

= - \frac{2}{e}

\int_{0}^{1} (π x) d x

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