Word Count : 220

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To approximate the integral: \[ I = \int_0^1 \frac{dx}{1+x^2} \] using the Composite Simpson’s Rule with step sizes \( h = 0.25 \) and \( h = 0.125 \), and then refining the result with Romberg Integration, we proceed as follows: ### Step 1: ___ _______ __________ ______ _______ _____ _________ ________.
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