Problem 4: Using any method you wish calculate the following function: g(x) =(2.z) -1/2 fexp(-t' / 2)dt Recall the fundamental theorem of calculus to convert the integral to an initial value problem: dg -?? dx g(0) =??. The solution at a few points is: g(0.5) =0.1914625, g(1.0) =0.3413448, g(1.5) =0.4331928, g(2.0) =0.4772499, g(2.5) =0.4937903, g(3.0) =0.4986501 "For this reason, ode solvers are frequently described as numeric integration schemes.)