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Beliebt Rechnen >

integral of xln(x^2)

Lösung

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

Lösung

x^{2} ln (x) - \frac{x ^{2}}{2} + C

Schritte zur Lösung

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

Wende die partielle Integration an

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

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

= \frac{1}{2} x^{2} ln (x^{2}) - \frac{x ^{2}}{2}

\frac{1}{2} x^{2} ln (x^{2}) = x^{2} ln (x)

= x^{2} ln (x) - \frac{x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= x^{2} ln (x) - \frac{x ^{2}}{2} + C

Graph

Beliebte Beispiele

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\int 100 e^{0.2 x} d x

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\int e^{2 x - 2} d x