integral from 1 to 5 of 1/(4x)

Lösung

\int_{1}^{5} \frac{1}{4 x} d x

\frac{1}{4} ln (5)

Dezimale

0.40235 \dots

Schritte zur Lösung

\int_{1}^{5} \frac{1}{4 x} d x

Entferne die Konstante:

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

= \frac{1}{4} \cdot \int_{1}^{5} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= \frac{1}{4} [ln ∣ x ∣]_{1}^{5}

Berechne die Grenzen:

ln (5)

= \frac{1}{4} ln (5)

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