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Beliebt Rechnen >

integral of x^4ln(x^3)

Lösung

\int x^{4} ln (x^{3}) d x

Lösung

\frac{3}{5} x^{5} ln (x) - \frac{3 x ^{5}}{25} + C

Schritte zur Lösung

\int x^{4} ln (x^{3}) d x

Wende die partielle Integration an

= \frac{1}{5} x^{5} ln (x^{3}) - \int \frac{3 x ^{4}}{5} d x

\int \frac{3 x ^{4}}{5} d x = \frac{3 x ^{5}}{25}

= \frac{1}{5} x^{5} ln (x^{3}) - \frac{3 x ^{5}}{25}

\frac{1}{5} x^{5} ln (x^{3}) = \frac{3}{5} x^{5} ln (x)

= \frac{3}{5} x^{5} ln (x) - \frac{3 x ^{5}}{25}

Füge eine Konstante zur Lösung hinzu

= \frac{3}{5} x^{5} ln (x) - \frac{3 x ^{5}}{25} + C

Graph

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