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Beliebt Rechnen >

integral of x^4+\sqrt[3]{x}-5

Lösung

\int x^{4} + 3 x - 5 d x

Lösung

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

Schritte zur Lösung

\int x^{4} + 3 x - 5 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 x^{4} d x + \int 3 x d x - \int 5 d x

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

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

\int 5 d x = 5 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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