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Beliebt Rechnen >

integral xln(x)

Lösung

integral

x ln (x)

Lösung

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

Schritte zur Lösung

\int x ln (x) d x

Wende die partielle Integration an

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of 2^{x/5}

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

integral of 1/(9+5x^2)

\int \frac{1}{9 + 5 x ^{2}} d x

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\int (10 x^{4} + 2 x + 1) d x

integral of sqrt((1+cos(x))^2+sin^2(x))

\int (1 + cos (x))^{2} + sin^{2} (x) d x

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\int \frac{2 x + 1}{( x ^{2} + x + 1 ) ^{3}} d x