integral from 2 to 5 of 3/(sqrt(x))

Lösung

\int_{2}^{5} \frac{3}{x} d x

3 (25 - 22)

Dezimale

4.93112 \dots

Schritte zur Lösung

\int_{2}^{5} \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_{2}^{5} \frac{1}{x} d x

Wende die Potenzregel an

= 3 [2 x^{\frac{1}{2}}]_{2}^{5}

Wende Radikal Regel an:

a^{\frac{1}{n}} = n a

= 3 [2 x]_{2}^{5}

Berechne die Grenzen:

25 - 22

= 3 (25 - 22)

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