integral from 1 to 3 of 6/(sqrt(x))

Lösung

\int_{1}^{3} \frac{6}{x} d x

6 (23 - 2)

Dezimale

8.78460 \dots

Schritte zur Lösung

\int_{1}^{3} \frac{6}{x} d x

Entferne die Konstante:

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

= 6 \cdot \int_{1}^{3} \frac{1}{x} d x

Wende die Potenzregel an

= 6 [2 x^{\frac{1}{2}}]_{1}^{3}

Wende Radikal Regel an:

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

= 6 [2 x]_{1}^{3}

Berechne die Grenzen:

23 - 2

= 6 (23 - 2)

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