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Beliebt Rechnen >

integral from 0 to 1 of x^2e^x

Lösung

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

Lösung

e - 2

+1

Dezimale

0.71828 \dots

Schritte zur Lösung

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

Wende die partielle Integration an

= [x^{2} e^{x} - \int 2 x e^{x} d x]_{0}^{1}

\int 2 x e^{x} d x = 2 (e^{x} x - e^{x})

= [x^{2} e^{x} - 2 (e^{x} x - e^{x})]_{0}^{1}

Berechne die Grenzen:

e - 2

= e - 2

Graph

Beliebte Beispiele

fläche y=(16)/(x^2-6x-55),y=0,x=-3,x=3

a re a y = \frac{16}{x ^{2} - 6 x - 55}, y = 0, x = - 3, x = 3

derivative t^5-1/(\sqrt[4]{t^7)}

d er i v a t i v e t^{5} - \frac{1}{4 t ^{7}}

derivative of (x^3/((1-x)^2))

\frac{d}{d x} (\frac{x ^{3}}{( 1 - x ) ^{2}})

d/(d{x)}({x}^2+{y}^2-{z})

\frac{d}{d x} (x^{2} + y^{2} - z)

integral of x^r

\int x^{r} d x