integral from-1 to 0 of x^{2/5}

Lösung

\int_{- 1}^{0} x^{\frac{2}{5}} d x

\frac{5 ( - 1 ) ^{\frac{2}{5}}}{7}

Schritte zur Lösung

\int_{- 1}^{0} x^{\frac{2}{5}} d x

Wende die Potenzregel an

= [\frac{5}{7} x^{\frac{7}{5}}]_{- 1}^{0}

Berechne die Grenzen:

(- 1)^{\frac{2}{5}} \frac{5}{7}

= (- 1)^{\frac{2}{5}} \frac{5}{7}

Vereinfache

= \frac{5 ( - 1 ) ^{\frac{2}{5}}}{7}

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