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Beliebt Rechnen >

integral of 8sqrt(x)-5\sqrt[3]{x}

Lösung

\int 8 x - 5 3 x d x

Lösung

\frac{16}{3} x^{\frac{3}{2}} - \frac{15}{4} x^{\frac{4}{3}} + C

Schritte zur Lösung

\int 8 x - 5 3 x 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 8 x d x - \int 5 3 x d x

\int 8 x d x = \frac{16}{3} x^{\frac{3}{2}}

\int 5 3 x d x = \frac{15}{4} x^{\frac{4}{3}}

= \frac{16}{3} x^{\frac{3}{2}} - \frac{15}{4} x^{\frac{4}{3}}

Füge eine Konstante zur Lösung hinzu

= \frac{16}{3} x^{\frac{3}{2}} - \frac{15}{4} x^{\frac{4}{3}} + C

Graph

Beliebte Beispiele

integral of (x^3)/(sqrt(25-x^4))

\int \frac{x ^{3}}{25 - x ^{4}} d x

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\int 6 x^{2} - 6 x - 72 d x

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