integral from 1 to 10 of 2/x

Lösung

\int_{1}^{10} \frac{2}{x} d x

2 ln (10)

Dezimale

4.60517 \dots

Schritte zur Lösung

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

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= 2 [ln ∣ x ∣]_{1}^{10}

Berechne die Grenzen:

ln (10)

= 2 ln (10)

\int_{0}^{1} ∣ 1 - 2 x ∣ d x

\int_{1}^{2} (3 t^{2} + 2 e^{3 t} + \frac{1}{t} + 2 cos (3 t)) d t

\int_{b}^{a} 1 d x

\int_{0}^{4} \frac{1}{( 2 - 3 x ) ^{\frac{1}{3}}} d x

\int_{0}^{x^{2}} e^{x^{3}} d x