Problem $6/$MatlabGrader

Develop a Matlab function myGaussQuad that calculates the integral of a function $\backslash ($ f $\backslash )$ from $\backslash ($ a $\backslash )$ to $\backslash ($ b $\backslash ).$ As input the function shall take the anonymous function $\backslash ($ f $\backslash ),$ the integration bounds $\backslash ($ a $\backslash )$ and $\backslash ($ b $\backslash )$ and the number of Gauss points to be used m$.$ Your function must cover $2,3,4,$ and $5$ point Gaussian quadrature. As output the function shall give the calculated integral I. Do not use the table given in the book for the location of the Gauss points or the weights, but instead use the table with exact values given in the lecture notes. If the function is called with an $\backslash ($ m $\backslash )$ value other than $\backslash (2,3,4\backslash ),$ or$,5,$ the function shall execute Matlab's function error $("..")$ with an appropriate error message.

Use your function myGaussQuad to solve problem $5,$ using $2,3,4,$ and $5-$point Gaussian quadrature.

Required submission:

$\backslash (\backslash$square $\backslash )$ well commented function source code submitted to Matlab Grader

printout of I for all $4$ methods

printout of script used to solve this problem in the Gradescope submission