integral from e to 6 of 1/(xln(x))

Lösung

\int_{e}^{6} \frac{1}{x ln ( x )} d x

ln (ln (6))

Dezimale

0.58319 \dots

Schritte zur Lösung

\int_{e}^{6} \frac{1}{x ln ( x )} d x

Wende U-Substitution an

= \int_{1}^{l n (6)} \frac{1}{u} d u

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{1}^{l n (6)}

Berechne die Grenzen:

ln (ln (6))

= ln (ln (6))