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Beliebt Rechnen >

integral of (5x^4-3x^2+2x+6)

Lösung

\int (5 x^{4} - 3 x^{2} + 2 x + 6) d x

Lösung

x^{5} - x^{3} + x^{2} + 6 x + C

Schritte zur Lösung

\int 5 x^{4} - 3 x^{2} + 2 x + 6 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 5 x^{4} d x - \int 3 x^{2} d x + \int 2 x d x + \int 6 d x

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

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

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

\int 6 d x = 6 x

= x^{5} - x^{3} + x^{2} + 6 x

Füge eine Konstante zur Lösung hinzu

= x^{5} - x^{3} + x^{2} + 6 x + C

Graph

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