integral from 1 to 7 of 1/(xln(x))

Lösung

\int_{1}^{7} \frac{1}{x ln ( x )} d x

divergiert

Schritte zur Lösung

\int_{1}^{7} \frac{1}{x ln ( x )} d x

Wende U-Substitution an

= \int_{0}^{l n (7)} \frac{1}{u} d u

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{0}^{l n (7)}

Berechne die Grenzen:

divergiert

= divergiert

\int_{0}^{5} x^{2} - 4 d x

\int_{- 1}^{1} ∣ ln (x + 1.5) ∣^{3} d x

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

\int_{0}^{2} (t + 2)^{2} - 3 d t

\int_{0}^{1} (\frac{y}{1 + x y}) d x