Midpoint Rule Numerical integration using python

I created a program to evaluate definite integrals using the Midpoint Rule.

Firstly, the midpoint rule states that:

Since evaluating definite integrals using the midpoint rule is a repetitious method, it would be best if a program would do it. Increasing the value of n would increase the integral's accuracy, but it would be more difficult to do by hand.

Here is my python code for the definite integral of $\sin^2(x)$. You can change the function in the code to integrate any function you want. Increasing the number of midpoints increases accuracy.

https://repl.it/@PhysicsAndMath/Numerical-integration-Midpoint-Rule

Note by Kao Cen Darach
1 year ago

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