integral from 2 to 4 of 1/(xln^2(x))

Lösung

\int_{2}^{4} \frac{1}{x ln ^{2} ( x )} d x

\frac{1}{2 ln ( 2 )}

Dezimale

0.72134 \dots

Schritte zur Lösung

\int_{2}^{4} \frac{1}{x ln ^{2} ( x )} d x

Wende U-Substitution an

= \int_{l n (2)}^{2 l n (2)} \frac{1}{u ^{2}} d u

Wende die Potenzregel an

= [- \frac{1}{u}]_{l n (2)}^{2 l n (2)}

Berechne die Grenzen:

\frac{1}{2 ln ( 2 )}

= \frac{1}{2 ln ( 2 )}

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