integral from e^5 to e^9 of (ln(x))/x

Lösung

\int_{e^{5}}^{e^{9}} \frac{ln ( x )}{x} d x

28

Schritte zur Lösung

\int_{e^{5}}^{e^{9}} \frac{ln ( x )}{x} d x

Wende U-Substitution an

= \int_{5}^{9} u d u

Wende die Potenzregel an

= [\frac{u ^{2}}{2}]_{5}^{9}

Berechne die Grenzen:

28

= 28

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