# Inte(grity)

Find the value of the integral:

\[\large{\int\dfrac{6x^{4}-5x^{3}+4x^{2}}{2x^{2}-x+1}}\]

If the value can be expressed as:

\(\large{a_{1}.x^{3}-\dfrac{x^{2}}{a_2}+\dfrac{1}{a_3}.ln(|a_{4}x^{2}-x+1|)+\dfrac{1}{a_{5}\sqrt{a_6}}.tan^{-1}(\dfrac{a_{7}x-1}{\sqrt{a_8}})+C}\)......\(\text{where C is the constant of integration}\)

Find the value of \(\sum\limits_{i=1}^{8}{a_i}\)