Question

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

Answer 1

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

Where $C$ is constant of integration