integral from 5 to 7 of 1/x

Lösung

\int_{5}^{7} \frac{1}{x} d x

ln (7) - ln (5)

Dezimale

0.33647 \dots

Schritte zur Lösung

\int_{5}^{7} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{5}^{7}

Berechne die Grenzen:

ln (7) - ln (5)

= ln (7) - ln (5)

\int_{\frac{π}{6}}^{\frac{π}{4}} sec^{2} (x) d x

\int_{- 5}^{3} - x^{2} - 3 x d x

\int_{1}^{2} \frac{1}{x ^{7}} d x

\int_{0}^{2} x (x - 1) d x

\int_{0}^{1} 17 x e^{x} d x