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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die partielle Integration an

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

y^{''}-y^'-2y=-8t+6t^2

y^{^{''}} - y^{^{'}} - 2 y = - 8 t + 6 t^{2}

limit as x approaches 2-of (3x+5)/(x-2)

x \to 2 - lim (\frac{3 x + 5}{x - 2})

integral of (2t)/(1+t^2)

\int \frac{2 t}{1 + t ^{2}} d t

fläche y=-2x^2+20,y=3x-15

a re a y = - 2 x^{2} + 20, y = 3 x - 15

derivative f(x)=x^7-1(x)

d er i v a t i v e f (x) = x^{7} - 1 (x)