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Beliebt Rechnen >

integral of x^2ln|x|

Lösung

\int x^{2} ln ∣ x ∣ d x

Lösung

\frac{1}{3} x^{3} ln ∣ x ∣ - \frac{x ^{3}}{9} + C

Schritte zur Lösung

\int x^{2} ln ∣ x ∣ d x

Wende die partielle Integration an

= \frac{1}{3} x^{3} ln ∣ x ∣ - \int \frac{x ^{2}}{3} d x

\int \frac{x ^{2}}{3} d x = \frac{x ^{3}}{9}

= \frac{1}{3} x^{3} ln ∣ x ∣ - \frac{x ^{3}}{9}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{3} x^{3} ln ∣ x ∣ - \frac{x ^{3}}{9} + C

Graph

Beliebte Beispiele

limit as x approaches 1 of x(x-1)ln(x+1)

x \to 1 lim (x (x - 1) ln (x + 1))

integral of (2x^2)^2

\int (2 x^{2})^{2} d x

laplacetransform 1/2 e^t-1/2 cos(t)-1/2 sin(t)

l a pl a ce t r an s f or m \frac{1}{2} e^{t} - \frac{1}{2} cos (t) - \frac{1}{2} sin (t)

laplacetransform 2e^{2t}

l a pl a ce t r an s f or m 2 e^{2 t}

fläche y=x-2,x=y^2

a re a y = x - 2, x = y^{2}