integral from 1 to e of (((ln(x))^5))/x

Lösung

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

\frac{1}{6}

Dezimale

0.16666 \dots

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{0}^{1} u^{5} d u

Wende die Potenzregel an

= [\frac{u ^{6}}{6}]_{0}^{1}

Berechne die Grenzen:

\frac{1}{6}

= \frac{1}{6}

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