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please use python and NO PYTHON METHODS. only use basic lists, if/elif/else, for and while loops, and basic functions. thank you Write the function integrate

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please use python and NO PYTHON METHODS. only use basic lists, if/elif/else, for and while loops, and basic functions. thank you Write the function integrate that accepts three input arguments: a polynomial (represented by a list of floats), the lower bound and upper bound b of the integral. The function should compute the anti-derivative (new polynomial), evaluate the integral and return the result (a float number)

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