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Beliebt Rechnen >

integral from 0 to 1 of 1/((x-1)^{2/3)}

Lösung

\int_{0}^{1} \frac{1}{( x - 1 ) ^{\frac{2}{3}}} d x

Lösung

- 3 (- 1)^{\frac{1}{3}}

Schritte zur Lösung

\int_{0}^{1} \frac{1}{( x - 1 ) ^{\frac{2}{3}}} d x

Wende U-Substitution an

= \int_{- 1}^{0} \frac{1}{u ^{\frac{2}{3}}} d u

Wende die Potenzregel an

= [3 u^{\frac{1}{3}}]_{- 1}^{0}

Berechne die Grenzen:

- 3 (- 1)^{\frac{1}{3}}

= - 3 (- 1)^{\frac{1}{3}}

Graph

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