integral of (ln(11x))/(x^9)

Lösung

\int \frac{ln ( 11 x )}{x ^{9}} d x

- \frac{ln ( 11 x )}{8 x ^{8}} - \frac{1}{64 x ^{8}} + C

Schritte zur Lösung

\int \frac{ln ( 11 x )}{x ^{9}} d x

Wende die partielle Integration an

= - \frac{ln ( 11 x )}{8 x ^{8}} - \int - \frac{1}{8 x ^{9}} d x

\int - \frac{1}{8 x ^{9}} d x = \frac{1}{64 x ^{8}}

= - \frac{ln ( 11 x )}{8 x ^{8}} - \frac{1}{64 x ^{8}}

Füge eine Konstante zur Lösung hinzu

= - \frac{ln ( 11 x )}{8 x ^{8}} - \frac{1}{64 x ^{8}} + C

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