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Beliebt Rechnen >

integral of ln(x)x^4

Lösung

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

Lösung

\frac{1}{5} x^{5} ln (x) - \frac{x ^{5}}{25} + C

Schritte zur Lösung

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

Wende die partielle Integration an

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of 2e^{x/3+4}+5

\int 2 e^{\frac{x}{3} + 4} + 5 d x

integral of (x-4)/(sqrt(x+2))

\int \frac{x - 4}{x + 2} d x

integral of 5^xx^2

\int 5^{x} x^{2} d x

integral of 2y^3e^{y^2}

\int 2 y^{3} e^{y^{2}} d y

integral of 5/(sqrt(9-4x^2))

\int \frac{5}{9 - 4 x ^{2}} d x