# What is the antiderivative of x^3 -14x^2 +22x +3?

Knowing that, $\int {y}^{n} \mathrm{dy} = {y}^{n + 1} / \left(n + 1\right) + K , n \ne - 1$, we have,
$\int \left({x}^{3} - 14 {x}^{2} + 22 x + 3\right) \mathrm{dx} = \int {x}^{3} \mathrm{dx} - 14 \int {x}^{2} \mathrm{dx} + \ldots \ldots \ldots + 3 \int {x}^{0} \mathrm{dx}$
$= {x}^{4} / 4 - \frac{14}{3} {x}^{3} + 11 {x}^{2} + 3 x + C$.