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Beliebt Rechnen >

integral of (ln(4x))^2

Lösung

\int (ln (4 x))^{2} d x

Lösung

x ln^{2} (4 x) - 2 (x ln (4 x) - x) + C

Schritte zur Lösung

\int (ln (4 x))^{2} d x

Wende die partielle Integration an

= x ln^{2} (4 x) - \int 2 ln (4 x) d x

\int 2 ln (4 x) d x = 2 (x ln (4 x) - x)

= x ln^{2} (4 x) - 2 (x ln (4 x) - x)

Füge eine Konstante zur Lösung hinzu

= x ln^{2} (4 x) - 2 (x ln (4 x) - x) + C

Graph

Beliebte Beispiele

y y^{^{'}} + x = 0

integral of (sqrt(r)+3)/(r+3)

\int \frac{r + 3}{r + 3} d r

integral of (82x+8)/((9x+1)(x-1))

\int \frac{82 x + 8}{( 9 x + 1 ) ( x - 1 )} d x

9(t+1)((dy)/(dt))-6y=18t

9 (t + 1) (\frac{d y}{d t}) - 6 y = 18 t

derivative (17)/x

d er i v a t i v e \frac{17}{x}