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

Lösung

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

\frac{4}{9}

Dezimale

0.44444 \dots

Schritte zur Lösung

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

Wende U-Substitution an

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

Wende die Potenzregel an

= [- \frac{1}{2 u ^{2}}]_{1}^{3}

Berechne die Grenzen:

\frac{4}{9}

= \frac{4}{9}

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