integral of x^2-2

Lösung

\int x^{2} - 2 d x

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

Schritte zur Lösung

\int x^{2} - 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 2 d x

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

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

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

\frac{d y}{d x} = \frac{2 y}{3 x}

t an g e n t f (x) = 5 - 3 x, at x = - 2

x \to - 5 lim (4 x^{3} + x)

\frac{d y}{d x} + 3 y = 2