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Beliebt Rechnen >

integral of 18x^2-14x+9

Lösung

\int 18 x^{2} - 14 x + 9 d x

Lösung

6 x^{3} - 7 x^{2} + 9 x + C

Schritte zur Lösung

\int 18 x^{2} - 14 x + 9 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 18 x^{2} d x - \int 14 x d x + \int 9 d x

\int 18 x^{2} d x = 6 x^{3}

\int 14 x d x = 7 x^{2}

\int 9 d x = 9 x

= 6 x^{3} - 7 x^{2} + 9 x

Füge eine Konstante zur Lösung hinzu

= 6 x^{3} - 7 x^{2} + 9 x + C

Graph

Beliebte Beispiele

t an g e n t x + \frac{2}{x}

t^2y^{''}-2ty^'+2y=3t^2

t^{2} y^{^{''}} - 2 t y^{^{'}} + 2 y = 3 t^{2}

integral from 1 to sqrt(3 of)arctan(1/x)

\int_{1}^{3} arctan (\frac{1}{x}) d x

tangent y=(x^2)/(x+2),(2,1)

t an g e n t y = \frac{x ^{2}}{x + 2}, (2, 1)

derivative of x-2x^2+1

\frac{d}{d x} (x - 2 x^{2} + 1)