integral of x^3-2x

Lösung

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

\frac{x ^{4}}{4} - x^{2} + C

Schritte zur Lösung

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

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

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

= \frac{x ^{4}}{4} - x^{2}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{4}}{4} - x^{2} + C

x \to - 16 lim (14)

\frac{\partial}{\partial x} (2 cos^{2} (x))

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

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

\frac{d}{d x} (\frac{1}{( 5 x ^{6} + 4 x + 1 ) ^{\frac{9}{2}}})