integral from-infinity to-5 of θe^θ

Lösung

\int_{- \infty}^{- 5} θ e^{θ} d θ

- \frac{6}{e ^{5}}

Dezimale

- 0.04042 \dots

Schritte zur Lösung

\int_{- \infty}^{- 5} 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}^{- 5} θ e^{θ} d θ = - \frac{6}{e ^{5}} - 0

= - \frac{6}{e ^{5}} - 0

Vereinfache

= - \frac{6}{e ^{5}}

\int_{0}^{1.5} \frac{1}{8} x d x

\int_{0}^{1} 2 cos (x) d x

\int_{9}^{10} 1.5 x^{- 2.5} d x

\int_{2}^{4} - 6 x d x

\int_{0}^{2 π} 2 cos (2 x + 4) d x