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Beliebt Rechnen >

integral of (3x^2-1)

Lösung

\int (3 x^{2} - 1) d x

Lösung

x^{3} - x + C

Schritte zur Lösung

\int 3 x^{2} - 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 3 x^{2} d x - \int 1 d x

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

\int 1 d x = x

= x^{3} - x

Füge eine Konstante zur Lösung hinzu

= x^{3} - x + C

Graph

Beliebte Beispiele

derivative f(x)=2x^3+4x^2+6x

d er i v a t i v e f (x) = 2 x^{3} + 4 x^{2} + 6 x

limit as x approaches 0+of sin((5pi)/6 e^{sqrt(x)})

x \to 0 + lim (sin (\frac{5 π}{6} e^{x}))

integral of (x+1)[ln(x+1)+c]

\int (x + 1) [ln (x + 1) + c] d x

y^{2} y^{^{'}} = y^{2}

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

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