integral from 7 to 49 of 1/(x(ln(x))^7)

Lösung

\int_{7}^{49} \frac{1}{x ( ln ( x ) ) ^{7}} d x

\frac{21}{128 ln ^{6} ( 7 )}

Dezimale

0.00302 \dots

Schritte zur Lösung

\int_{7}^{49} \frac{1}{x ( ln ( x ) ) ^{7}} d x

Vereinfache

= \int_{7}^{49} \frac{1}{x ln ^{7} ( x )} d x

Wende U-Substitution an

= \int_{l n (7)}^{2 l n (7)} \frac{1}{u ^{7}} d u

Wende die Potenzregel an

= [- \frac{1}{6 u ^{6}}]_{l n (7)}^{2 l n (7)}

Berechne die Grenzen:

\frac{21}{128 ln ^{6} ( 7 )}

= \frac{21}{128 ln ^{6} ( 7 )}

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