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Beliebt Rechnen >

integral of 12x^2-6x+1

Lösung

\int 12 x^{2} - 6 x + 1 d x

Lösung

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

Schritte zur Lösung

\int 12 x^{2} - 6 x + 1 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 12 x^{2} d x - \int 6 x d x + \int 1 d x

\int 12 x^{2} d x = 4 x^{3}

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

\int 1 d x = x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

y^{''}-3y^'=9t,y(0)=3,y^'(0)=0

y^{^{''}} - 3 y^{^{'}} = 9 t, y (0) = 3, y^{^{'}} (0) = 0

implicit x/y+y/x =3piab^2

im pl i c i t \frac{x}{y} + \frac{y}{x} = 3 πa b^{2}

inverselaplace ((-2s-1))/(s+1)

in v erse l a pl a ce \frac{( - 2 s - 1 )}{s + 1}

integral of 1/(sqrt(y^2+x^2))

\int \frac{1}{y ^{2} + x ^{2}} d x

steigung sqrt(2x-1),\at x=5

s l o p e 2 x - 1, at x = 5