integral from 1 to e of ((ln(x))^4)/x

Lösung

\int_{1}^{e} \frac{( ln ( x ) ) ^{4}}{x} d x

\frac{1}{5}

Dezimale

0.2

Schritte zur Lösung

\int_{1}^{e} \frac{( ln ( x ) ) ^{4}}{x} d x

Wende U-Substitution an

= \int_{0}^{1} u^{4} d u

Wende die Potenzregel an

= [\frac{u ^{5}}{5}]_{0}^{1}

Berechne die Grenzen:

\frac{1}{5}

= \frac{1}{5}

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