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Beliebt Rechnen >

integral of 6x^{2/3}-8x^{3/4}

Lösung

\int 6 x^{\frac{2}{3}} - 8 x^{\frac{3}{4}} d x

Lösung

\frac{18}{5} x^{\frac{5}{3}} - \frac{32}{7} x^{\frac{7}{4}} + C

Schritte zur Lösung

\int 6 x^{\frac{2}{3}} - 8 x^{\frac{3}{4}} d x

Wende die Summenregel an:

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

= \int 6 x^{\frac{2}{3}} d x - \int 8 x^{\frac{3}{4}} d x

\int 6 x^{\frac{2}{3}} d x = \frac{18}{5} x^{\frac{5}{3}}

\int 8 x^{\frac{3}{4}} d x = \frac{32}{7} x^{\frac{7}{4}}

= \frac{18}{5} x^{\frac{5}{3}} - \frac{32}{7} x^{\frac{7}{4}}

Füge eine Konstante zur Lösung hinzu

= \frac{18}{5} x^{\frac{5}{3}} - \frac{32}{7} x^{\frac{7}{4}} + C

Graph

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