Question

Evaluate:-
$\underset{2}{\overset{3}{\int }}\left(1+2x\right)dx$

Answer 1

${\int }_2^3(1+2x)dx$

$={[x+\frac{2x^2}{2}]}_2^3$

$={[x+x^2]}_2^3$

$=[(3-2)+(3^2-2^2)]$

$=1+9-4=6$