integral from e to 2e of ln(x)

Lösung

\int_{e}^{2 e} ln (x) d x

2 e ln (2 e) - 2 e

Dezimale

3.76833 \dots

Schritte zur Lösung

\int_{e}^{2 e} ln (x) d x

Wende die partielle Integration an

= [x ln (x) - \int 1 d x]_{e}^{2 e}

\int 1 d x = x

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

Berechne die Grenzen:

2 e ln (2 e) - 2 e

= 2 e ln (2 e) - 2 e

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