integral from 5 to 25 of 1/(x(ln(x))^6)

Lösung

\int_{5}^{25} \frac{1}{x ( ln ( x ) ) ^{6}} d x

\frac{31}{160 ln ^{5} ( 5 )}

Dezimale

0.01794 \dots

Schritte zur Lösung

\int_{5}^{25} \frac{1}{x ( ln ( x ) ) ^{6}} d x

Wende U-Substitution an

= \int_{l n (5)}^{2 l n (5)} \frac{1}{u ^{6}} d u

Wende die Potenzregel an

= [- \frac{1}{5 u ^{5}}]_{l n (5)}^{2 l n (5)}

Berechne die Grenzen:

\frac{31}{160 ln ^{5} ( 5 )}

= \frac{31}{160 ln ^{5} ( 5 )}

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