integral from 1 to e^7 of ((ln(x))^2)/x

Lösung

\int_{1}^{e^{7}} \frac{( ln ( x ) ) ^{2}}{x} d x

\frac{343}{3}

Dezimale

114.33333 \dots

Schritte zur Lösung

\int_{1}^{e^{7}} \frac{( ln ( x ) ) ^{2}}{x} d x

Wende U-Substitution an

= \int_{0}^{7} u^{2} d u

Wende die Potenzregel an

= [\frac{u ^{3}}{3}]_{0}^{7}

Berechne die Grenzen:

\frac{343}{3}

= \frac{343}{3}

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