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Beliebt Rechnen >

integral of (ln(7x))/(x^9)

Lösung

\int \frac{ln ( 7 x )}{x ^{9}} d x

Lösung

- \frac{ln ( 7 x )}{8 x ^{8}} - \frac{1}{64 x ^{8}} + C

Schritte zur Lösung

\int \frac{ln ( 7 x )}{x ^{9}} d x

Wende die partielle Integration an

= - \frac{ln ( 7 x )}{8 x ^{8}} - \int - \frac{1}{8 x ^{9}} d x

\int - \frac{1}{8 x ^{9}} d x = \frac{1}{64 x ^{8}}

= - \frac{ln ( 7 x )}{8 x ^{8}} - \frac{1}{64 x ^{8}}

Füge eine Konstante zur Lösung hinzu

= - \frac{ln ( 7 x )}{8 x ^{8}} - \frac{1}{64 x ^{8}} + C

Graph

Beliebte Beispiele

derivative ln(xsqrt(x^2-1))

d er i v a t i v e ln (x x^{2} - 1)

steigung (-3,-2),(1,-5)

s l o p e (- 3, - 2), (1, - 5)

integral of cos(x)(1+7sin^2(x))

\int cos (x) (1 + 7 sin^{2} (x)) d x

sum from n=0 to infinity of 1/(n^4+6)

n = 0 \sum \infty \frac{1}{n ^{4} + 6}

tangent f(x)=sqrt(x),\at x=5

t an g e n t f (x) = x, at x = 5