integral of 4ln(x)

Lösung

\int 4 ln (x) d x

4 (x ln (x) - x) + C

Schritte zur Lösung

\int 4 ln (x) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 4 \cdot \int ln (x) d x

Wende die partielle Integration an

= 4 (x ln (x) - \int 1 d x)

\int 1 d x = x

= 4 (x ln (x) - x)

Füge eine Konstante zur Lösung hinzu

= 4 (x ln (x) - x) + C

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