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Beliebt Rechnen >

integral of (8+2/5 x^2+3/7 x^3)

Lösung

\int (8 + \frac{2}{5} x^{2} + \frac{3}{7} x^{3}) d x

Lösung

8 x + \frac{2 x ^{3}}{15} + \frac{3 x ^{4}}{28} + C

Schritte zur Lösung

\int 8 + \frac{2}{5} x^{2} + \frac{3}{7} x^{3} 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 d x + \int \frac{2}{5} x^{2} d x + \int \frac{3}{7} x^{3} d x

\int 8 d x = 8 x

\int \frac{2}{5} x^{2} d x = \frac{2 x ^{3}}{15}

\int \frac{3}{7} x^{3} d x = \frac{3 x ^{4}}{28}

= 8 x + \frac{2 x ^{3}}{15} + \frac{3 x ^{4}}{28}

Füge eine Konstante zur Lösung hinzu

= 8 x + \frac{2 x ^{3}}{15} + \frac{3 x ^{4}}{28} + C

Graph

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