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Beliebt Rechnen >

integral of (ln(8x))/(x^7)

Lösung

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

Lösung

- \frac{ln ( 8 x )}{6 x ^{6}} - \frac{1}{36 x ^{6}} + C

Schritte zur Lösung

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

Wende die partielle Integration an

= - \frac{ln ( 8 x )}{6 x ^{6}} - \int - \frac{1}{6 x ^{7}} d x

\int - \frac{1}{6 x ^{7}} d x = \frac{1}{36 x ^{6}}

= - \frac{ln ( 8 x )}{6 x ^{6}} - \frac{1}{36 x ^{6}}

Füge eine Konstante zur Lösung hinzu

= - \frac{ln ( 8 x )}{6 x ^{6}} - \frac{1}{36 x ^{6}} + C

Graph

Beliebte Beispiele

integral of x^2(2x+5)^2

\int x^{2} (2 x + 5)^{2} d x

integral of (-x^2+2x)

\int (- x^{2} + 2 x) d x

integral of x^2(x^2+6)^{-1/2}

\int x^{2} (x^{2} + 6)^{- \frac{1}{2}} d x

integral of (48)/(1+36x^2)

\int \frac{48}{1 + 36 x ^{2}} d x

integral of 8x(4x^2+9)^4

\int 8 x (4 x^{2} + 9)^{4} d x