Question

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

Answer 1

$I=\int (a{x}^2+bx+c)dx$

$=\frac{a{x}^3}{3}+\frac{b{x}^2}{2}+cx+d$

$=\frac{1}{3}a{x}^3+\frac{1}{2}b{x}^2+cx+d$ (arbitrary constant).