# What is the antiderivative of (2x^4)+(4x^3)+(3x^2)+2x+4?

$= \frac{2 {x}^{5}}{5} + {x}^{4} + {x}^{3} + {x}^{2} + 4 x + C$
color(green)(intx^n=x^(n+1)/(n+1)+C
$\int \left(2 {x}^{4} + 4 {x}^{3} + 3 {x}^{2} + 2 x + 4\right)$
$= \frac{2 {x}^{5}}{5} + {x}^{4} + {x}^{3} + {x}^{2} + 4 x + C$