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Beliebt Rechnen >

integral from 0 to 4 of (ln(x))/(sqrt(x))

Lösung

\int_{0}^{4} \frac{ln ( x )}{x} d x

Lösung

8 ln (2) - 8

+1

Dezimale

- 2.45482 \dots

Schritte zur Lösung

\int_{0}^{4} \frac{ln ( x )}{x} d x

Wende die partielle Integration an

= [2 x ln (x) - \int \frac{2}{x} d x]_{0}^{4}

\int \frac{2}{x} d x = 4 x

= [2 x ln (x) - 4 x]_{0}^{4}

Berechne die Grenzen:

8 ln (2) - 8

= 8 ln (2) - 8

Graph

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