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Beliebt Rechnen >

integral of 3ln(x)+3

Lösung

\int 3 ln (x) + 3 d x

Lösung

3 x ln (x) + C

Schritte zur Lösung

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

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

\int 3 d x = 3 x

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

Vereinfache

3 (x ln (x) - x) + 3 x : 3 x ln (x)

= 3 x ln (x)

Füge eine Konstante zur Lösung hinzu

= 3 x ln (x) + C

Graph

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