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Beliebt Rechnen >

integral from 1 to e of ln^2(x)

Lösung

\int_{1}^{e} ln^{2} (x) d x

Lösung

e - 2

+1

Dezimale

0.71828 \dots

Schritte zur Lösung

\int_{1}^{e} ln^{2} (x) d x

Wende die partielle Integration an

= [x ln^{2} (x) - \int 2 ln (x) d x]_{1}^{e}

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

= [x ln^{2} (x) - 2 (x ln (x) - x)]_{1}^{e}

Berechne die Grenzen:

e - 2

= e - 2

Graph

Beliebte Beispiele

integral of 1/8 x

\int \frac{1}{8} x d x

derivative (sqrt(x))/(3(x^2+1))

d er i v a t i v e \frac{x}{3 ( x ^{2} + 1 )}

slopeintercept (3,2),(6,8)

s l o p e in t erce pt (3, 2), (6, 8)

integral of (sin(x/2))

\int (sin (\frac{x}{2})) d x

fläche sin(x),3x, pi/2 ,pi

a re a sin (x), 3 x, \frac{π}{2}, π