integral from 0 to 49 of 8/(sqrt(x))

Lösung

\int_{0}^{49} \frac{8}{x} d x

112

Schritte zur Lösung

\int_{0}^{49} \frac{8}{x} d x

Entferne die Konstante:

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

= 8 \cdot \int_{0}^{49} \frac{1}{x} d x

Wende die Potenzregel an

= 8 [2 x^{\frac{1}{2}}]_{0}^{49}

Wende Radikal Regel an:

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

= 8 [2 x]_{0}^{49}

Berechne die Grenzen:

14

= 8 \cdot 14

Vereinfache

= 112

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