integral of x(12x+4)

Lösung

\int x (12 x + 4) d x

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

Schritte zur Lösung

\int x (12 x + 4) d x

Multipliziere aus

x (12 x + 4) : 12 x^{2} + 4 x

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

x \to 2 lim (ln ∣ 2 - x ∣)

t an g e n t f (x) = - x^{3} + 9 x^{2} - 6 x + 9, at x = 7

x \to - \infty lim (\frac{x}{c})

\int 2 (2 x + 8)^{5} d x

\frac{\partial}{\partial x} ((x + 2)^{2} (y + 3))