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Beliebt Rechnen >

integral of ln(3x)-ln(x)

Lösung

\int ln (3 x) - ln (x) d x

Lösung

x ln (3 x) - x ln (x) + C

Schritte zur Lösung

\int ln (3 x) - ln (x) d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int ln (3 x) d x - \int ln (x) d x

\int ln (3 x) d x = x ln (3 x) - x

\int ln (x) d x = x ln (x) - x

= x ln (3 x) - x - (x ln (x) - x)

Vereinfache

= x ln (3 x) - x ln (x)

Füge eine Konstante zur Lösung hinzu

= x ln (3 x) - x ln (x) + C

Graph

Beliebte Beispiele

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