integral from e to e^3 of 1/(x(ln(x))^2)

Lösung

\int_{e}^{e^{3}} \frac{1}{x ( ln ( x ) ) ^{2}} d x

\frac{2}{3}

Dezimale

0.66666 \dots

Schritte zur Lösung

\int_{e}^{e^{3}} \frac{1}{x ( ln ( x ) ) ^{2}} d x

Wende U-Substitution an

= \int_{1}^{3} \frac{1}{u ^{2}} d u

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{2}{3}

= \frac{2}{3}

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