Question

Evaluate:

${\int }_0^2[x^2+x+1]dx$

Answer 1

${\int }_0^2[x^2+x+1]dx$

There not given $\left[\right]$ this bracket is $GIF$ or simple.

I m taking it simple bracket.

$={[\frac{x^3}{3}+\frac{x^2}{2}+x]}_0^2$

$=\frac{8}{3}+\frac{4}{2}+2$

$=\frac{8}{2}+4=\frac{20}{3}$