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Beliebt Rechnen >

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

Lösung

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

Lösung

2 e^{2} - 2

+1

Dezimale

12.77811 \dots

Schritte zur Lösung

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

Wende die partielle Integration an

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

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

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

Berechne die Grenzen:

2 e^{2} - 2

= 2 e^{2} - 2

Graph

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\int \frac{x ^{5}}{( 1 - x ^{3} ) ^{\frac{3}{2}}} d x