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Beliebt Rechnen >

integral of (\sqrt[5]{x^2})

Lösung

\int (5 x^{2}) d x

Lösung

\frac{5}{7} x^{\frac{7}{5}} + C

Schritte zur Lösung

\int 5 x^{2} d x

5 x^{2} = x^{\frac{2}{5}},

angenommen

x \geq 0

= \int x^{\frac{2}{5}} d x

Wende die Potenzregel an

= \frac{5}{7} x^{\frac{7}{5}}

Füge eine Konstante zur Lösung hinzu

= \frac{5}{7} x^{\frac{7}{5}} + C

Graph

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