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Beliebt Rechnen >

integral of (ln(3x))/(x^3)

Lösung

\int \frac{ln ( 3 x )}{x ^{3}} d x

Lösung

- \frac{ln ( 3 x )}{2 x ^{2}} - \frac{1}{4 x ^{2}} + C

Schritte zur Lösung

\int \frac{ln ( 3 x )}{x ^{3}} d x

Wende die partielle Integration an

= - \frac{ln ( 3 x )}{2 x ^{2}} - \int - \frac{1}{2 x ^{3}} d x

\int - \frac{1}{2 x ^{3}} d x = \frac{1}{4 x ^{2}}

= - \frac{ln ( 3 x )}{2 x ^{2}} - \frac{1}{4 x ^{2}}

Füge eine Konstante zur Lösung hinzu

= - \frac{ln ( 3 x )}{2 x ^{2}} - \frac{1}{4 x ^{2}} + C

Graph

Beliebte Beispiele

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\int 2 x - 3 e^{x} d x

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\int \frac{y ^{2}}{y + 1} d y

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