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Beliebt Rechnen >

integral of \sqrt[4]{x^3}+1

Lösung

\int 4 x^{3} + 1 d x

Lösung

\frac{4}{7} x^{\frac{7}{4}} + x + C

Schritte zur Lösung

\int 4 x^{3} + 1 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 4 x^{3} d x + \int 1 d x

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

\int 1 d x = x

= \frac{4}{7} x^{\frac{7}{4}} + x

Füge eine Konstante zur Lösung hinzu

= \frac{4}{7} x^{\frac{7}{4}} + x + C

Graph

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