integral from e^3 to e^6 of ln(x)

Lösung

\int_{e^{3}}^{e^{6}} ln (x) d x

5 e^{6} - 2 e^{3}

Dezimale

1976.97289 \dots

Schritte zur Lösung

\int_{e^{3}}^{e^{6}} ln (x) d x

Wende die partielle Integration an

= [x ln (x) - \int 1 d x]_{e^{3}}^{e^{6}}

\int 1 d x = x

= [x ln (x) - x]_{e^{3}}^{e^{6}}

Berechne die Grenzen:

5 e^{6} - 2 e^{3}

= 5 e^{6} - 2 e^{3}

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