integral from 0 to infinity of x^2ln(x)

Lösung

\int_{0}^{\infty} x^{2} ln (x) d x

divergiert

Schritte zur Lösung

\int_{0}^{\infty} x^{2} ln (x) d x

Berechne das unbestimmte Integral:

\int x^{2} ln (x) d x = \frac{1}{3} x^{3} ln (x) - \frac{x ^{3}}{9} + C

Berechne die Grenzen:

\int_{0}^{\infty} x^{2} ln (x) d x =

divergiert

= divergiert

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