integral from 1 to 10 of (20)/x

Lösung

\int_{1}^{10} \frac{20}{x} d x

20 ln (10)

Dezimale

46.05170 \dots

Schritte zur Lösung

\int_{1}^{10} \frac{20}{x} d x

Entferne die Konstante:

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

= 20 \cdot \int_{1}^{10} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= 20 [ln ∣ x ∣]_{1}^{10}

Berechne die Grenzen:

ln (10)

= 20 ln (10)

\int_{- 2}^{3} 9 - x^{2} d x

\int_{e^{1}}^{e^{2}} \frac{1}{x ln ( x )} d x

\int_{0}^{3} - 9 - x^{2} d x

\int_{- 1}^{2} 5^{3 x} d x

\int_{0}^{2} \frac{ln ( 1 + x )}{1 + x} d x