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Beliebt Rechnen >

integral of (9x^2-8x+3)

Lösung

\int (9 x^{2} - 8 x + 3) d x

Lösung

3 x^{3} - 4 x^{2} + 3 x + C

Schritte zur Lösung

\int 9 x^{2} - 8 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 9 x^{2} d x - \int 8 x d x + \int 3 d x

\int 9 x^{2} d x = 3 x^{3}

\int 8 x d x = 4 x^{2}

\int 3 d x = 3 x

= 3 x^{3} - 4 x^{2} + 3 x

Füge eine Konstante zur Lösung hinzu

= 3 x^{3} - 4 x^{2} + 3 x + C

Graph

Beliebte Beispiele

integral of cos(3x)cos(2x)

\int cos (3 x) cos (2 x) d x

integral of 4/(x^2-4x+20)

\int \frac{4}{x ^{2} - 4 x + 20} d x

fläche sqrt(x),x,0,2

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integral of (x^{3/2}+5)^6sqrt(x)

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

(dy)/(dx)x^2=y-xy

\frac{d y}{d x} x^{2} = y - x y