integral from 2 to 3 of 5/x

Lösung

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

5 (ln (3) - ln (2))

Dezimale

2.02732 \dots

Schritte zur Lösung

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int_{2}^{3} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= 5 [ln ∣ x ∣]_{2}^{3}

Berechne die Grenzen:

ln (3) - ln (2)

= 5 (ln (3) - ln (2))

\int_{- 2}^{2} \frac{x ^{2} + 1}{x ^{5}} d x

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