integral of x^2-3x-10

Lösung

\int x^{2} - 3 x - 10 d x

\frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} - 10 x + C

Schritte zur Lösung

\int x^{2} - 3 x - 10 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 10 d x

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

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

\int 10 d x = 10 x

= \frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} - 10 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} - 10 x + C

\frac{\partial}{\partial y} (x^{2} tan (y))

\int tan^{2} (x) sec^{4} (x) d x

\int (e^{- 2 x})^{2} d x

x \to 2 lim (2 x + 2)

\frac{\partial}{\partial x} (e^{2 z})