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Beliebt Rechnen >

integral from 1 to 2 of ((ln(x))^2)/x

Lösung

\int_{1}^{2} \frac{( ln ( x ) ) ^{2}}{x} d x

Lösung

\frac{ln ^{3} ( 2 )}{3}

+1

Dezimale

0.11100 \dots

Schritte zur Lösung

\int_{1}^{2} \frac{( ln ( x ) ) ^{2}}{x} d x

Wende U-Substitution an

= \int_{0}^{l n (2)} u^{2} d u

Wende die Potenzregel an

= [\frac{u ^{3}}{3}]_{0}^{l n (2)}

Berechne die Grenzen:

\frac{ln ^{3} ( 2 )}{3}

= \frac{ln ^{3} ( 2 )}{3}

Graph

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