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

Lösung

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

2

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{0}^{2} u d u

Wende die Potenzregel an

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

Berechne die Grenzen:

2

= 2

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