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Beliebt Rechnen >

integral of (ln(x))/(x^{12)}

Lösung

\int \frac{ln ( x )}{x ^{12}} d x

Lösung

- \frac{ln ( x )}{11 x ^{11}} - \frac{1}{121 x ^{11}} + C

Schritte zur Lösung

\int \frac{ln ( x )}{x ^{12}} d x

Wende die partielle Integration an

= - \frac{ln ( x )}{11 x ^{11}} - \int - \frac{1}{11 x ^{12}} d x

\int - \frac{1}{11 x ^{12}} d x = \frac{1}{121 x ^{11}}

= - \frac{ln ( x )}{11 x ^{11}} - \frac{1}{121 x ^{11}}

Füge eine Konstante zur Lösung hinzu

= - \frac{ln ( x )}{11 x ^{11}} - \frac{1}{121 x ^{11}} + C

Graph

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