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Beliebt Rechnen >

integral of (2+5/7 x-6x^2)

Lösung

\int (2 + \frac{5}{7} x - 6 x^{2}) d x

Lösung

2 x + \frac{5 x ^{2}}{14} - 2 x^{3} + C

Schritte zur Lösung

\int 2 + \frac{5}{7} x - 6 x^{2} 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 2 d x + \int \frac{5}{7} x d x - \int 6 x^{2} d x

\int 2 d x = 2 x

\int \frac{5}{7} x d x = \frac{5 x ^{2}}{14}

\int 6 x^{2} d x = 2 x^{3}

= 2 x + \frac{5 x ^{2}}{14} - 2 x^{3}

Füge eine Konstante zur Lösung hinzu

= 2 x + \frac{5 x ^{2}}{14} - 2 x^{3} + C

Graph

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