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

d er i v a t i v e \frac{10}{x ^{2} + 1}

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

y^{^{'}} + \frac{t}{t ^{2} - 16} y = \frac{e ^{t}}{t - 9}, y (- 7) = - 0.5

\frac{d y}{d x} = x (1 + x) (1 + y)

\int_{0}^{2} ln (x^{2}) d x