de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \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

integral of x^5sqrt(14+x^6)

\int x^{5} 14 + x^{6} d x

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

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

integral of 3x^2+2x^2

\int 3 x^{2} + 2 x^{2} d x

integral of (x^2+4x+5)/(x^2)

\int \frac{x ^{2} + 4 x + 5}{x ^{2}} d x

integral of sin^3(x)*cos^6(x)

\int sin^{3} (x) \cdot cos^{6} (x) d x