integral from-infinity to 3 of θe^θ

Lösung

\int_{- \infty}^{3} θ e^{θ} d θ

2 e^{3}

Dezimale

40.17107 \dots

Schritte zur Lösung

\int_{- \infty}^{3} 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}^{3} θ e^{θ} d θ = 2 e^{3} - 0

= 2 e^{3} - 0

Vereinfache

= 2 e^{3}

\int_{- \infty}^{- 2} θ e^{θ} d θ

\int_{0}^{1} x^{2} e^{- 14 x} d x

\int_{1}^{3} (y - 2)^{2} d y

\int_{0}^{1} x^{2} e^{- 9 x} d x

\int_{1}^{4} x x + 1 d x