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Beliebt Rechnen >

integral of (ln(2x))^2

Lösung

\int (ln (2 x))^{2} d x

Lösung

x ln^{2} (2 x) - 2 (x ln (2 x) - x) + C

Schritte zur Lösung

\int (ln (2 x))^{2} d x

Wende die partielle Integration an

= x ln^{2} (2 x) - \int 2 ln (2 x) d x

\int 2 ln (2 x) d x = 2 (x ln (2 x) - x)

= x ln^{2} (2 x) - 2 (x ln (2 x) - x)

Füge eine Konstante zur Lösung hinzu

= x ln^{2} (2 x) - 2 (x ln (2 x) - x) + C

Graph

Beliebte Beispiele

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

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

integral of x(sqrt(x+3))

\int x (x + 3) d x

derivative x/(x-6)

d er i v a t i v e \frac{x}{x - 6}

derivative f(x)=(x^3+1)e^x

d er i v a t i v e f (x) = (x^{3} + 1) e^{x}

integral from 1 to 3 of (x^2+2x-2)

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