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Beliebt Rechnen >

integral of x^7ln(8x)

Lösung

\int x^{7} ln (8 x) d x

Lösung

\frac{1}{8} x^{8} ln (8 x) - \frac{x ^{8}}{64} + C

Schritte zur Lösung

\int x^{7} ln (8 x) d x

Wende die partielle Integration an

= \frac{1}{8} x^{8} ln (8 x) - \int \frac{x ^{7}}{8} d x

\int \frac{x ^{7}}{8} d x = \frac{x ^{8}}{64}

= \frac{1}{8} x^{8} ln (8 x) - \frac{x ^{8}}{64}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{8} x^{8} ln (8 x) - \frac{x ^{8}}{64} + C

Graph

Beliebte Beispiele

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\int \frac{( x ^{2} + 13 )}{x ^{2} + 16} d x

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\int (x - 4) (- 2 x + 7) d x

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\int sin (2 x) sin (3 x) cos (4 x) d x

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\int \frac{1}{x ^{2} + 3 x - 10} d x