integral from 0 to 3 of x*e^x

Lösung

\int_{0}^{3} x \cdot e^{x} d x

2 e^{3} + 1

Dezimale

41.17107 \dots

Schritte zur Lösung

\int_{0}^{3} x e^{x} d x

Wende die partielle Integration an

= [e^{x} x - \int e^{x} d x]_{0}^{3}

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

= [e^{x} x - e^{x}]_{0}^{3}

Berechne die Grenzen:

2 e^{3} + 1

= 2 e^{3} + 1

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