Question

Find the following integral: $\int (ax^2+bx+c)dx$

Answer 1

$\int (ax^2+bx+c)dx$

= $a \int x^2dx+b \int xdx+c \int 1.dx$

=$a\bigg(\frac{x^3}{3}\bigg)+b\bigg(\frac{x^2}{2}\bigg)+cx+C$

=$\frac{ax^3}{3}+\frac{bx^2}{2}+cx+C$