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Beliebt Rechnen >

integral of ln(x-9)

Lösung

\int ln (x - 9) d x

Lösung

x ln (x - 9) - 9 ln (x - 9) - x + 9 + C

Schritte zur Lösung

\int ln (x - 9) d x

Wende U-Substitution an

= \int ln (u) d u

Wende die partielle Integration an

= u ln (u) - \int 1 d u

\int 1 d u = u

= u ln (u) - u

Setze in

u = x - 9

ein

= (x - 9) ln (x - 9) - (x - 9)

Vereinfache

(x - 9) ln (x - 9) - (x - 9) : x ln (x - 9) - 9 ln (x - 9) - x + 9

= x ln (x - 9) - 9 ln (x - 9) - x + 9

Füge eine Konstante zur Lösung hinzu

= x ln (x - 9) - 9 ln (x - 9) - x + 9 + C

Graph

Beliebte Beispiele

tangent f(x)=3x^4,\at x=-2

t an g e n t f (x) = 3 x^{4}, at x = - 2

fläche x^2-4,-x^2+4

a re a x^{2} - 4, - x^{2} + 4

derivative of (3sqrt(x)+8x^2)

\frac{d}{d x} ((3 x + 8) x^{2})

integral of 4csc(x)cot(x)-sec(x)tan(x)

\int 4 csc (x) cot (x) - sec (x) tan (x) d x

integral from 0 to 4 of sqrt(x(x+2))

\int_{0}^{4} x (x + 2) d x