integral from 0 to ln(19) of xe^x

Lösung

\int_{0}^{l n (19)} x e^{x} d x

19 ln (19) - 18

Dezimale

37.94434 \dots

Schritte zur Lösung

\int_{0}^{l n (19)} x e^{x} d x

Wende die partielle Integration an

= [e^{x} x - \int e^{x} d x]_{0}^{l n (19)}

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

= [e^{x} x - e^{x}]_{0}^{l n (19)}

Berechne die Grenzen:

19 ln (19) - 18

= 19 ln (19) - 18

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