integral of ln(x)x^6

Lösung

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

\frac{1}{7} x^{7} ln (x) - \frac{x ^{7}}{49} + C

Schritte zur Lösung

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

Wende die partielle Integration an

= \frac{1}{7} x^{7} ln (x) - \int \frac{x ^{6}}{7} d x

\int \frac{x ^{6}}{7} d x = \frac{x ^{7}}{49}

= \frac{1}{7} x^{7} ln (x) - \frac{x ^{7}}{49}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{7} x^{7} ln (x) - \frac{x ^{7}}{49} + C

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