Question

$\underset{2}{\overset{3}{\int }}(1+2x)dx$

Answer 1

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

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

$=(3-2)+(9-4)=1+5=6.$