integral of 12x^3-4x

Lösung

\int 12 x^{3} - 4 x d x

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

Schritte zur Lösung

\int 12 x^{3} - 4 x 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^{3} d x - \int 4 x d x

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

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

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

Füge eine Konstante zur Lösung hinzu

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

d er i v a t i v e (1 + t) (2 t^{2} - 5)

d er i v a t i v e f (x) = (\frac{4 x ^{2}}{2 - x})^{3}

s l o p e \frac{11 - 3}{p - 1}

\frac{\partial}{\partial x} (y^{\frac{x}{z}})

d er i v a t i v e f (x) = (2 x - x) (5 x + 2)