integral of-x^2+8x

Lösung

\int - x^{2} + 8 x d x

- \frac{x ^{3}}{3} + 4 x^{2} + C

Schritte zur Lösung

\int - x^{2} + 8 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^{2} d x + \int 8 x d x

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

\int 8 x d x = 4 x^{2}

= - \frac{x ^{3}}{3} + 4 x^{2}

Füge eine Konstante zur Lösung hinzu

= - \frac{x ^{3}}{3} + 4 x^{2} + C

x \to 3 lim (- \frac{1}{x - 3})

\frac{d}{d x} (50 x - 0.5 x^{2})

x \to - 5 - lim (\frac{3 x + 8}{x + 5})

\frac{d}{d x} (\frac{cos ( x )}{sin ( x )})

x \to \infty lim (x - x^{2})