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Beliebt Rechnen >

integral of ln((5x)^2)

Lösung

\int ln ((5 x)^{2}) d x

Lösung

2 x ln (5 x) - 2 x + C

Schritte zur Lösung

\int ln ((5 x)^{2}) d x

Wende die partielle Integration an

= x ln (25 x^{2}) - \int 2 d x

\int 2 d x = 2 x

= x ln (25 x^{2}) - 2 x

Vereinfache

ln (25 x^{2}) : 2 ln (5 x)

= 2 x ln (5 x) - 2 x

Füge eine Konstante zur Lösung hinzu

= 2 x ln (5 x) - 2 x + C

Graph

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