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

Lösung

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

\frac{1}{3}

Dezimale

0.33333 \dots

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{0}^{1} u^{2} d u

Wende die Potenzregel an

= [\frac{u ^{3}}{3}]_{0}^{1}

Berechne die Grenzen:

\frac{1}{3}

= \frac{1}{3}

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