Differentiate and Integrate A Given Function

[wildmommy666]

Hello, I need your helping hands for our course project. Our lecturer requested us to differentiate and integrate a function entered. The hardest part for us is using python libraries (scipy, sympy, etc.) are not allowed to use. Our assistant advised us to use some different methods and approximations to reach to solutions. Thanks for your helps in advance.

To Differentiate:

-Forward Difference Approximation
-Backward Difference Approximation
-Richardson Extrapolation Approximation

To Integrate:

-Trapezodial Method
-Simpson's Rule
-Monte Carlo Method