integral from e^{-1} to e of ln(x)

Lösung

\int_{e^{- 1}}^{e} ln (x) d x

\frac{2}{e}

Dezimale

0.73575 \dots

Schritte zur Lösung

\int_{e^{- 1}}^{e} ln (x) d x

Wende die partielle Integration an

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

\int 1 d x = x

= [x ln (x) - x]_{\frac{1}{e}}^{e}

Berechne die Grenzen:

\frac{2}{e}

= \frac{2}{e}

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