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Beliebt Rechnen >

integral of (x+4)ln(x)

Lösung

\int (x + 4) ln (x) d x

Lösung

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

Schritte zur Lösung

\int (x + 4) ln (x) d x

Wende die partielle Integration an

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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