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Beliebt Rechnen >

integral from 1 to 3 of (ln(x))/x

Lösung

\int_{1}^{3} \frac{ln ( x )}{x} d x

Lösung

\frac{ln ^{2} ( 3 )}{2}

+1

Dezimale

0.60347 \dots

Schritte zur Lösung

\int_{1}^{3} \frac{ln ( x )}{x} d x

Wende U-Substitution an

= \int_{0}^{l n (3)} u d u

Wende die Potenzregel an

= [\frac{u ^{2}}{2}]_{0}^{l n (3)}

Berechne die Grenzen:

\frac{ln ^{2} ( 3 )}{2}

= \frac{ln ^{2} ( 3 )}{2}

Graph

Beliebte Beispiele

steigung (2x+2y)^3=8x^3+8y^3(-1.1)

s l o p e (2 x + 2 y)^{3} = 8 x^{3} + 8 y^{3} (- 1.1)

integral from 1 to 5 of 5/x

\int_{1}^{5} \frac{5}{x} d x

derivative 3/(4x+6)+4x^2

d er i v a t i v e \frac{3}{4 x + 6} + 4 x^{2}

integral of (20x+7)

\int (20 x + 7) d x

limit as x approaches 2 of (4-x^2)/(x+2)

x \to 2 lim (\frac{4 - x ^{2}}{x + 2})