integral from 1 to 7 of 4/x

Lösung

\int_{1}^{7} \frac{4}{x} d x

4 ln (7)

Dezimale

7.78364 \dots

Schritte zur Lösung

\int_{1}^{7} \frac{4}{x} d x

Entferne die Konstante:

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

= 4 \cdot \int_{1}^{7} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= 4 [ln ∣ x ∣]_{1}^{7}

Berechne die Grenzen:

ln (7)

= 4 ln (7)

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