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Beliebt Rechnen >

integral of log_{6}(x-1)

Lösung

\int lo g_{6} (x - 1) d x

Lösung

x lo g_{6} (x - 1) - \frac{1}{ln ( 6 )} (x - 1 + ln ∣ x - 1 ∣) + C

Schritte zur Lösung

\int lo g_{6} (x - 1) d x

Wende die partielle Integration an

= x lo g_{6} (x - 1) - \int \frac{x}{ln ( 6 ) ( x - 1 )} d x

\int \frac{x}{ln ( 6 ) ( x - 1 )} d x = \frac{1}{ln ( 6 )} (x - 1 + ln ∣ x - 1 ∣)

= x lo g_{6} (x - 1) - \frac{1}{ln ( 6 )} (x - 1 + ln ∣ x - 1 ∣)

Füge eine Konstante zur Lösung hinzu

= x lo g_{6} (x - 1) - \frac{1}{ln ( 6 )} (x - 1 + ln ∣ x - 1 ∣) + C

Graph

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