integral from 1 to 3 of 1/(xln(x))

Lösung

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

divergiert

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{0}^{l n (3)} \frac{1}{u} d u

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{0}^{l n (3)}

Berechne die Grenzen:

divergiert

= divergiert

\int_{- 1}^{2} (x^{3} - 4 x) d x

\int_{0}^{10} 100 - x^{2} d x

\int_{0}^{1} cos (x) d x

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

\int_{0}^{\frac{1}{2}} x^{3} arctan (x) d x