integral from 1 to infinity of x^2ln(x)

Lösung

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

divergiert

Schritte zur Lösung

\int_{1}^{\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_{1}^{\infty} x^{2} ln (x) d x =

divergiert

= divergiert

\frac{d}{d x} (\frac{3 x ^{2}}{1 + x ^{3}})

\int 4 x^{2} + 9 d x

\frac{\partial}{\partial x} (x^{3} + x^{2} y)

\int \frac{cos ( 3 x )}{1 + sin ^{2} ( 3 x )} d x

x \to 0 lim (tan (2 x))