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Beliebt Rechnen >

integral from 1 to e of ln(15x)

Lösung

\int_{1}^{e} ln (15 x) d x

Lösung

e ln (15 e) - e - ln (15) + 1

+1

Dezimale

5.65319 \dots

Schritte zur Lösung

\int_{1}^{e} ln (15 x) d x

Wende die partielle Integration an

= [x ln (15 x) - \int 1 d x]_{1}^{e}

\int 1 d x = x

= [x ln (15 x) - x]_{1}^{e}

Berechne die Grenzen:

e ln (15 e) - e - ln (15) + 1

= e ln (15 e) - e - ln (15) + 1

Graph

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