Develop a C-code that numerically integrates the following function using N of different values, where N is the number of steps or intervals. Print out all [see image-text] 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 Simpsons 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. 1.000 e (7x) x cos (0.3 Tux), E L-5,01 x3 0.23 x 30.67 E 10,5 using Nof different values, where Nis the number of steps or intervals. Print out all xi, fi fCxi) 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 You need to submit a written report on the project and the report needs to follow the format below (i) Cover page (see attached as an example) (ii) Summary (iii) Introduction tells what you want to do in this project Civ) Theory of numerical integration (v) Results and Discussion vi Conclusion vii Appendix a. List of your C code Sample Run of your Code b. c. Data file of the result you have exported to the local drive