integral from 1 to 7 of (3/x)

Lösung

\int_{1}^{7} (\frac{3}{x}) d x

3 ln (7)

Dezimale

5.83773 \dots

Schritte zur Lösung

\int_{1}^{7} \frac{3}{x} d x

Entferne die Konstante:

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

= 3 \cdot \int_{1}^{7} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= 3 [ln ∣ x ∣]_{1}^{7}

Berechne die Grenzen:

ln (7)

= 3 ln (7)

\int_{1}^{2} x \cdot x - 1 d x

\int_{2}^{x^{2}} ln (t) d t

\int_{1}^{y} (2 - t) d t

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