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Beliebt Rechnen >

integral of x^9ln(6x)

Lösung

\int x^{9} ln (6 x) d x

Lösung

\frac{1}{10} x^{10} ln (6 x) - \frac{x ^{10}}{100} + C

Schritte zur Lösung

\int x^{9} ln (6 x) d x

Wende die partielle Integration an

= \frac{1}{10} x^{10} ln (6 x) - \int \frac{x ^{9}}{10} d x

\int \frac{x ^{9}}{10} d x = \frac{x ^{10}}{100}

= \frac{1}{10} x^{10} ln (6 x) - \frac{x ^{10}}{100}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{10} x^{10} ln (6 x) - \frac{x ^{10}}{100} + C

Graph

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