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Beliebt Rechnen >

integral of (6x^2-4x+5)

Lösung

\int (6 x^{2} - 4 x + 5) d x

Lösung

2 x^{3} - 2 x^{2} + 5 x + C

Schritte zur Lösung

\int 6 x^{2} - 4 x + 5 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 6 x^{2} d x - \int 4 x d x + \int 5 d x

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

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

\int 5 d x = 5 x

= 2 x^{3} - 2 x^{2} + 5 x

Füge eine Konstante zur Lösung hinzu

= 2 x^{3} - 2 x^{2} + 5 x + C

Graph

Beliebte Beispiele

integral of 1/(x^3+9x)

\int \frac{1}{x ^{3} + 9 x} d x

tangent 5sec(x),\at x= pi/3

t an g e n t 5 sec (x), at x = \frac{π}{3}

fläche-x^2+3x,2x^3-x^2-5x

a re a - x^{2} + 3 x, 2 x^{3} - x^{2} - 5 x

limit as x approaches 0 of ((x-1))/x

x \to 0 lim (\frac{( x - 1 )}{x})

integral of y/((y^2+z^2)^{3/2)}

\int \frac{y}{( y ^{2} + z ^{2} ) ^{\frac{3}{2}}} d y