Question

integration of (ax² + bx + c).dx

Answer 1

HELLO DEAR,

$\bold{I =\int{ (ax^2 + bx + c)}\,dx}$

$\bold{\Rightarrow \int{ax^2}\,dx + \int{bx}\,dx + \int{c}\,dx}$

$\bold{\Rightarrow \frac{ax^{2 + 1}}{2 + 1} + \frac{bx^{1 + 1}}{1 + 1} + \frac{cx^{0 + 1}}{0 + 1}}$

$\bold{\Rightarrow ax^3/3 + bx^2/2 + cx + c}$

where, c is arbitrary constant.

Hence , $\bold{I = ax^3/3 + bx^2/2 + cx + c}$.

I HOPE ITS HELP YOU DEAR,
THANKS