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Beliebt Rechnen >

integral from 1 to e of (sqrt(ln(x)))/x

Lösung

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

Lösung

\frac{2}{3}

+1

Dezimale

0.66666 \dots

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{0}^{1} u d u

Wende die Potenzregel an

= [\frac{2}{3} u^{\frac{3}{2}}]_{0}^{1}

Berechne die Grenzen:

\frac{2}{3}

= \frac{2}{3}

Graph

Beliebte Beispiele

integral of 3e^{5x+e^{5x}}

\int 3 e^{5 x + e^{5 x}} d x

taylor ln(x),\at 1

t a y l or ln (x), at 1

integral from 0 to 4 of |x-2|

\int_{0}^{4} ∣ x - 2 ∣ d x

integral of 1/(2x^2+9x+4)

\int \frac{1}{2 x ^{2} + 9 x + 4} d x

derivative of ln(sqrt(x^2+7))

\frac{d}{d x} (ln (x^{2} + 7))