Word Count : 496

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The problem asks to calculate the integral \[ I = \int_{0}^{1} \frac{dx}{1+x^2} \] using the trapezoidal rule and then evaluate \( \pi \) from the result. ### Step 1: Set up the problem using the trapezoidal rule The trapezoidal rule for approximating the integral of a function \( f(x) \) over an interval \( [a, b] \) with \( n \) subintervals is given by: \[ I \approx \frac{h}{2} \left( f(a) + 2 \sum_{i=1}^{n-1} f(x_i) + f(b) \right) \] where \( h _____ _____ __________ _____ _______ ______ _____ ___ ___ ______ ______ _____.
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