integral from 1 to e^9 of ((ln(x))^2)/x

Lösung

\int_{1}^{e^{9}} \frac{( ln ( x ) ) ^{2}}{x} d x

243

Schritte zur Lösung

\int_{1}^{e^{9}} \frac{( ln ( x ) ) ^{2}}{x} d x

Wende U-Substitution an

= \int_{0}^{9} u^{2} d u

Wende die Potenzregel an

= [\frac{u ^{3}}{3}]_{0}^{9}

Berechne die Grenzen:

243

= 243

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