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Beliebt Rechnen >

integral of \sqrt[3]{x}+xsqrt(x)

Lösung

Lösung

\frac{3}{4} x^{\frac{4}{3}} + \frac{2}{5} x^{\frac{5}{2}} + C

Schritte zur Lösung

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

= \frac{3}{4} x^{\frac{4}{3}} + \frac{2}{5} x^{\frac{5}{2}}

Füge eine Konstante zur Lösung hinzu

= \frac{3}{4} x^{\frac{4}{3}} + \frac{2}{5} x^{\frac{5}{2}} + C

Graph

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