integral from 0 to 3 of 1/(\sqrt[3]{x)}

Lösung

\int_{0}^{3} \frac{1}{3 x} d x

\frac{3 \cdot 3 ^{\frac{2}{3}}}{2}

Dezimale

3.12012 \dots

Schritte zur Lösung

\int_{0}^{3} \frac{1}{3 x} d x

Wende die Potenzregel an

= [\frac{3}{2} x^{\frac{2}{3}}]_{0}^{3}

Berechne die Grenzen:

3^{\frac{2}{3}} \cdot \frac{3}{2}

= 3^{\frac{2}{3}} \cdot \frac{3}{2}

Vereinfache

= \frac{3 \cdot 3 ^{\frac{2}{3}}}{2}

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