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Beliebt Rechnen >

integral of ln(2x^2)

Lösung

\int ln (2 x^{2}) d x

Lösung

x (ln (2) + 2 ln (x)) - 2 x + C

Schritte zur Lösung

\int ln (2 x^{2}) d x

Wende die partielle Integration an

= x ln (2 x^{2}) - \int 2 d x

\int 2 d x = 2 x

= x ln (2 x^{2}) - 2 x

Vereinfache

ln (2 x^{2}) : 2 ln (x) + ln (2)

= x (ln (2) + 2 ln (x)) - 2 x

Füge eine Konstante zur Lösung hinzu

= x (ln (2) + 2 ln (x)) - 2 x + C

Graph

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