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Beliebt Rechnen >

integral of ln(x)x^8

Lösung

\int ln (x) x^{8} d x

Lösung

\frac{1}{9} x^{9} ln (x) - \frac{x ^{9}}{81} + C

Schritte zur Lösung

\int ln (x) x^{8} d x

Wende die partielle Integration an

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

\int \frac{x ^{8}}{9} d x = \frac{x ^{9}}{81}

= \frac{1}{9} x^{9} ln (x) - \frac{x ^{9}}{81}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{9} x^{9} ln (x) - \frac{x ^{9}}{81} + C

Graph

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