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))

\int_{- 1}^{1} (∣ x ∣ - x^{2}) d x

\int_{0}^{1} (t + 1) e^{- t} d t

\int_{0}^{t} t e^{2 t} sin (t) d t

\int_{6}^{7} x^{2} - 4 x - 12 d x

\int_{1}^{\infty} \frac{1}{2 x + 7} d x