Consider the function

f$($x$)=-$pi$/16+$ integral from $0$ to x of $($e$^-$y$^2)$dy

Perform the following

Write a function test$\_$function$$that implements f$($x$)$using the Matlab integral$$function$.$ It should have a single input variable and a single output variable. Put the function at the end of your script.

Write code to find the root of the function $$using the Matlab function fzero. Take $$as the initial guess, and store the result root in variable x$\_$root.

Evaluate the function test$\_$function$$at x$\_$root, and store the value in variable zero$\_$val.