Question

Evaluate ${\int }_0^1(2x^2+x+1)dx$

Answer 1

Consider, $I={\int }_0^{1}2x^2+x+1dx$

$={[\frac{2x^3}{3}+\frac{x^2}{2}+x]}_0^1$

$=\frac{2}{3}+\frac{1}{2}+1=\frac{13}{6}$