Develop a C-code that numerically integrates the following function f(x) = e^(-x^2) elementof [-infinity, infinity] using N of different values, where Nis the number of steps or intervals. Print out all x_i, f_i f(x_i) and the final result. Determine and print the appropriate value of N based on the results for different N values. Integrate the function by using both Trapezoidal rule and Simpson's rule, then compare the results with it calculated from mathematical software such as Matlab, Mathematica etc. Your C-code must contain the following features: (1) use of arrays, (2) use of pointers, (3) use of structure (4) use of union, (5) use of functions and function calls, (6) formatted output on screen and (7) saving of the same output on a data file. Develop a C-code that numerically integrates the following function f(x) = e^(-x^2) elementof [-infinity, infinity] using N of different values, where Nis the number of steps or intervals. Print out all x_i, f_i f(x_i) and the final result. Determine and print the appropriate value of N based on the results for different N values. Integrate the function by using both Trapezoidal rule and Simpson's rule, then compare the results with it calculated from mathematical software such as Matlab, Mathematica etc. Your C-code must contain the following features: (1) use of arrays, (2) use of pointers, (3) use of structure (4) use of union, (5) use of functions and function calls, (6) formatted output on screen and (7) saving of the same output on a data file