Use two$-,$ three$-,$ and four$-$point Gauss$-$Legendre integration formulas to evaluate

the following integral.

${\displaystyle \underset{1}{\overset{2}{}}}(2x+\frac{3}{x}{)}^{2}dx$

Use the analytical solution of the integral to determine the true percent relative error ${}_t$

for each case.

Develop a code or an excel sheet for the calculations.