rxSin (t dt Gauss-Legendre quadrature can be used to accurately approximate Si(x). The approximation is: n -0 where A 2.5253303767 to 0.0469100770 A1 1.0370462484 0.2307653450 A2 0.5688888889 0.5000000000 A3 0.3111070642 0.7692346550 A4 0.1242940878 T4 0.9530899230 examples: Si(1) 0.946083 Si(2) 1.60541 Si(3) 1.84865 Write a C++ function, Si, that takes x, and approximates Si(x) and returns the result. Note that it is NOT necessary to convert from degrees to radians when using function sin because the argument is already in radians. Your function must correspond exactly to this specification. Then write a C++ program ("practice. cpp") that finds the largest and smallest values of Si(x) for a SxSb. The largest and smallest values are to be found by evaluating Si(x) at N equally spaced values for x, starting with x a and ending with x b. Your program must make use of the function required above. Your program should repeatedly read in values for a, b, and N until 0 0 0 is entered. Note that Nis an integer. For each set of values entered your program should either output an error message (if the values are unacceptable see next paragraph) or ii) find and output the largest and smallest values of Si(x, and, if N is less than or equal to 5, output every x considered and the corresponding value for Si(x) The value of a must be greater than zero, b must be greater than or equal to a, and N must be greater than or equal to 2