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

Lösung

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

\frac{3}{2}

Dezimale

1.5

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{1}^{2} u d u

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{3}{2}

= \frac{3}{2}

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