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Beliebt Rechnen >

integral of ln(x-2)

Lösung

\int ln (x - 2) d x

Lösung

x ln (x - 2) - 2 ln (x - 2) - x + 2 + C

Schritte zur Lösung

\int ln (x - 2) 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 - 2

ein

= (x - 2) ln (x - 2) - (x - 2)

Vereinfache

(x - 2) ln (x - 2) - (x - 2) : x ln (x - 2) - 2 ln (x - 2) - x + 2

= x ln (x - 2) - 2 ln (x - 2) - x + 2

Füge eine Konstante zur Lösung hinzu

= x ln (x - 2) - 2 ln (x - 2) - x + 2 + C

Graph

Beliebte Beispiele

tangent y= 1/(x^3),(1,1)

t an g e n t y = \frac{1}{x ^{3}}, (1, 1)

tangent f(x)=(5x)/(x-3),(4,20)

t an g e n t f (x) = \frac{5 x}{x - 3}, (4, 20)

derivative y=(x+5)^{1/x}

d er i v a t i v e y = (x + 5)^{\frac{1}{x}}

integral of x^2(x^3+5)^9

\int x^{2} (x^{3} + 5)^{9} d x

derivative of sqrt((x^2-1/(x^3-x)))

\frac{d}{d x} (\frac{x ^{2} - 1}{x ^{3} - x})