integral of x^2-x-2

Lösung

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

\frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 2 x + C

Schritte zur Lösung

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

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

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

\int 2 d x = 2 x

= \frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 2 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 2 x + C

\frac{d}{d x} (\frac{3 x + 1}{5 x ^{2} + 1})

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

x y^{^{'}} + y = 6 x^{2}, y (1) = 2

n \to \infty lim (n^{10})

d er i v a t i v e f (x) = 2 x - x ln ∣ x ∣