integral from 0 to 10 of \sqrt[3]{9y}

Lösung

\int_{0}^{10} 3 9 y d y

- \frac{5 \cdot 3 ^{\frac{2}{3}} 3 5}{2 ^{\frac{2}{3}}} + 10390

Dezimale

33.61053 \dots

Schritte zur Lösung

\int_{0}^{10} 3 9 y d y

Wende die partielle Integration an

= [39 y 3 y - \int \frac{3}{9 ^{\frac{2}{3}}} y^{\frac{1}{3}} d y]_{0}^{10}

\int \frac{3}{9 ^{\frac{2}{3}}} y^{\frac{1}{3}} d y = \frac{3 ^{\frac{2}{3}}}{4} y^{\frac{4}{3}}

= [39 y 3 y - \frac{3 ^{\frac{2}{3}}}{4} y^{\frac{4}{3}}]_{0}^{10}

Berechne die Grenzen:

- \frac{5 \cdot 3 ^{\frac{2}{3}} 3 5}{2 ^{\frac{2}{3}}} + 10390

= - \frac{5 \cdot 3 ^{\frac{2}{3}} 3 5}{2 ^{\frac{2}{3}}} + 10390

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