integral from 1 to infinity of xln(x)

Lösung

\int_{1}^{\infty} x ln (x) d x

divergiert

Schritte zur Lösung

\int_{1}^{\infty} x ln (x) d x

Berechne das unbestimmte Integral:

\int x ln (x) d x = \frac{1}{2} x^{2} ln (x) - \frac{x ^{2}}{4} + C

Berechne die Grenzen:

\int_{1}^{\infty} x ln (x) d x =

divergiert

= divergiert

\int_{- 1}^{1} \frac{1}{1 - ∣ x ∣} d x

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