integral of-x^2-3x

Lösung

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

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

Schritte zur Lösung

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

d er i v a t i v e f (x) = 4 x^{\frac{5}{4}} + 10 x^{\frac{3}{2}} + 3 x

\int x^{5} x^{6} - 1 d x

a re a x^{2} + 4 x + 3, y = - 1, x = 0, [- 2, 0]

k = 1 \sum \infty (20)^{k}

\int_{- 4}^{4} ∣ x - 3 ∣ d x