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

Lösung

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

\frac{8}{3}

Dezimale

2.66666 \dots

Schritte zur Lösung

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

Wende U-Substitution an

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

Wende die Potenzregel an

= [\frac{u ^{3}}{3}]_{0}^{2}

Berechne die Grenzen:

\frac{8}{3}

= \frac{8}{3}

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