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Beliebt Rechnen >

integral of-510x^2+3414x+1998

Lösung

\int - 510 x^{2} + 3414 x + 1998 d x

Lösung

- 170 x^{3} + 1707 x^{2} + 1998 x + C

Schritte zur Lösung

\int - 510 x^{2} + 3414 x + 1998 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 510 x^{2} d x + \int 3414 x d x + \int 1998 d x

\int 510 x^{2} d x = 170 x^{3}

\int 3414 x d x = 1707 x^{2}

\int 1998 d x = 1998 x

= - 170 x^{3} + 1707 x^{2} + 1998 x

Füge eine Konstante zur Lösung hinzu

= - 170 x^{3} + 1707 x^{2} + 1998 x + C

Graph

Beliebte Beispiele

derivative f(x)=(9-x^3)^{-2}

d er i v a t i v e f (x) = (9 - x^{3})^{- 2}

10y^{''}+2y^'+5y=0

10 y^{^{''}} + 2 y^{^{'}} + 5 y = 0

derivative ln(sqrt(x+4))

d er i v a t i v e ln (x + 4)

(xy-y^2)dx+x^3dy=0

(x y - y^{2}) d x + x^{3} d y = 0

tangent f(x)=3x^2-3x

t an g e n t f (x) = 3 x^{2} - 3 x