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Beliebt Rechnen >

integral from 0 to 1 of x^5ln(x)

Lösung

\int_{0}^{1} x^{5} ln (x) d x

Lösung

- \frac{1}{36}

+1

Dezimale

- 0.02777 \dots

Schritte zur Lösung

\int_{0}^{1} x^{5} ln (x) d x

Wende die partielle Integration an

= [\frac{1}{6} x^{6} ln (x) - \int \frac{x ^{5}}{6} d x]_{0}^{1}

\int \frac{x ^{5}}{6} d x = \frac{x ^{6}}{36}

= [\frac{1}{6} x^{6} ln (x) - \frac{x ^{6}}{36}]_{0}^{1}

Berechne die Grenzen:

- \frac{1}{36}

= - \frac{1}{36}

Graph

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