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Beliebt Rechnen >

integral from 1 to 25 of 2/x

Lösung

\int_{1}^{25} \frac{2}{x} d x

Lösung

4 ln (5)

+1

Dezimale

6.43775 \dots

Schritte zur Lösung

\int_{1}^{25} \frac{2}{x} d x

Entferne die Konstante:

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

= 2 \cdot \int_{1}^{25} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= 2 [ln ∣ x ∣]_{1}^{25}

Berechne die Grenzen:

2 ln (5)

= 2 \cdot 2 ln (5)

Vereinfache

= 4 ln (5)

Graph

Beliebte Beispiele

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