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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

tangent f(x)=2-5x^2,(-2,-18)

t an g e n t f (x) = 2 - 5 x^{2}, (- 2, - 18)

derivative (x-2)/((x+2)(x-3))

d er i v a t i v e \frac{x - 2}{( x + 2 ) ( x - 3 )}

y^'=(2y)/x ,y(1/(sqrt(2)))=5

y^{^{'}} = \frac{2 y}{x}, y (\frac{1}{2}) = 5

limit as x approaches 0 of ((x^3))/x

x \to 0 lim (\frac{( x ^{3} )}{x})

integral from-1 to 3 of x

\int_{- 1}^{3} x d x