integral of x^{17}ln(x)

Lösung

\int x^{17} ln (x) d x

\frac{1}{18} x^{18} ln (x) - \frac{x ^{18}}{324} + C

Schritte zur Lösung

\int x^{17} ln (x) d x

Wende die partielle Integration an

= \frac{1}{18} x^{18} ln (x) - \int \frac{x ^{17}}{18} d x

\int \frac{x ^{17}}{18} d x = \frac{x ^{18}}{324}

= \frac{1}{18} x^{18} ln (x) - \frac{x ^{18}}{324}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{18} x^{18} ln (x) - \frac{x ^{18}}{324} + C

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