integral from 0 to 7 of xe^{-x}

Lösung

\int_{0}^{7} x e^{- x} d x

- \frac{8}{e ^{7}} + 1

Dezimale

0.99270 \dots

Schritte zur Lösung

\int_{0}^{7} x e^{- x} d x

Wende die partielle Integration an

= [- e^{- x} x - \int - e^{- x} d x]_{0}^{7}

\int - e^{- x} d x = e^{- x}

= [- e^{- x} x - e^{- x}]_{0}^{7}

Berechne die Grenzen:

- \frac{8}{e ^{7}} + 1

= - \frac{8}{e ^{7}} + 1

a re a x^{2} - 1, - x + 2, 0, 1

x \to \infty lim (x ln (x))

\frac{d}{d x} (\frac{- cos ( x )}{4 x ^{2} + 2 x - 3})

\frac{d y}{d t} + 2 y = 3 t^{2} + 2 t - 1

n = 1 \sum \infty \frac{8 ^{n}}{n ^{4}}