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Beliebt Rechnen >

integral of xln(x^4)

Lösung

\int x ln (x^{4}) d x

Lösung

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

Schritte zur Lösung

\int x ln (x^{4}) d x

Wende die partielle Integration an

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

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

= \frac{1}{2} x^{2} ln (x^{4}) - x^{2}

\frac{1}{2} x^{2} ln (x^{4}) = 2 x^{2} ln (x)

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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