Question: $\int\left(a x^{2}+b x+c\right) d x$
Solution:
$\int\left(a x^{2}+b x+c\right) d x$
$=a \int x^{2} d x+b \int x d x+c \int 1 . d x$
$=a\left(\frac{x^{3}}{3}\right)+b\left(\frac{x^{2}}{2}\right)+c x+\mathrm{C}$
$=\frac{a x^{3}}{3}+\frac{b x^{2}}{2}+c x+\mathrm{C}$
