Question

Find the integral of $\int (a{x}^2+bx+c)dx$

Answer 1

$\int (a{x}^2+bx+c)dx$
$=a\int x^{2}dx+b\int xdx+c\int 1.dx$
$=a\left(\frac{x^3}{3}\right)+b\left(\frac{x^2}{2}\right)+cx+C$
$=\frac{a{x}^3}{3}+\frac{b{x}^2}{2}+cx+C$