integral of (x^3-3)

Lösung

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

\frac{x ^{4}}{4} - 3 x + C

Schritte zur Lösung

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

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

\int 3 d x = 3 x

= \frac{x ^{4}}{4} - 3 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{4}}{4} - 3 x + C

\int x sin (7 x^{2}) cos (8 x^{2}) d x

\int y - x^{3} d x

n \to \infty lim (\frac{1}{3 n})

x \to - 2 + lim (\frac{2 - ∣ x ∣}{2 + x})

\frac{\partial}{\partial x} ((\frac{1}{12}) π x^{2} y)