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Beliebt >

integral of xln(8x)

Lösung

\int x ln (8 x) d x

Lösung

\frac{1}{2} x^{2} ln (8 x) - \frac{x ^{2}}{4} + C

Schritte zur Lösung

\int x ln (8 x) d x

Wende die partielle Integration an

: \frac{1}{2} x^{2} ln (8 x) - \int \frac{x}{2} d x

= \frac{1}{2} x^{2} ln (8 x) - \int \frac{x}{2} d x

\int \frac{x}{2} d x = \frac{x ^{2}}{4}

= \frac{1}{2} x^{2} ln (8 x) - \frac{x ^{2}}{4}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{2} x^{2} ln (8 x) - \frac{x ^{2}}{4} + C

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