integral from 1 to 8 of 5/t

Lösung

\int_{1}^{8} \frac{5}{t} d t

15 ln (2)

Dezimale

10.39720 \dots

Schritte zur Lösung

\int_{1}^{8} \frac{5}{t} d t

Entferne die Konstante:

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

= 5 \cdot \int_{1}^{8} \frac{1}{t} d t

Nutze das gemeinsame Integral :

\int \frac{1}{t} d t = ln (∣ t ∣)

= 5 [ln ∣ t ∣]_{1}^{8}

Berechne die Grenzen:

3 ln (2)

= 5 \cdot 3 ln (2)

Vereinfache

= 15 ln (2)

\int_{- 4}^{2} 2 x d x

\int_{x}^{y} \frac{1}{x} d x

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