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sure! the trapezoidal rule is a numerical integration method used to approximate the definite integral of a function. it works by approximating the area under the curve of the function by dividing it into trapezoids and summing up their areas.
here's a step-by-step tutorial on how to implement the trapezoidal rule in python:
step 1: define the function to integrate
step 2: implement the trapezoidal rule function
step 3: call the trapezoidal rule function with the desired interval [a, b] and number of subintervals n
in the example above, we are approximating the integral of the function x^2 over the interval [0, 1] using 100 subintervals.
you can adjust the function `f`, interval [a, b], and the number of subintervals `n` based on your requirements.
i hope you find this tutorial helpful! let me know if you have any questions or need further clarification.
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