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Beliebt Rechnen >

integral of 6x^2-2x+8

Lösung

\int 6 x^{2} - 2 x + 8 d x

Lösung

2 x^{3} - x^{2} + 8 x + C

Schritte zur Lösung

\int 6 x^{2} - 2 x + 8 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 6 x^{2} d x - \int 2 x d x + \int 8 d x

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

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

\int 8 d x = 8 x

= 2 x^{3} - x^{2} + 8 x

Füge eine Konstante zur Lösung hinzu

= 2 x^{3} - x^{2} + 8 x + C

Graph

Beliebte Beispiele

\frac{d}{d v} (2 uv)

integral of (ln^2(3x))/x

\int \frac{ln ^{2} ( 3 x )}{x} d x

integral of sin^3(11x)cos^9(11x)

\int sin^{3} (11 x) cos^{9} (11 x) d x

2y^{''}-5y^'-12y=0

2 y^{^{''}} - 5 y^{^{'}} - 12 y = 0

integral from 0 to 49 of 1/(sqrt(49-x))

\int_{0}^{49} \frac{1}{49 - x} d x