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2. (2 points) Using the error \( E_{1, m}(f) \), find the number of subintervals \( m \) that is needed for the trapezoidal composite rules to compute the value of the integral \[ I(f)=\int_{-1}^{1} \frac{d x}{1+x^{2}} \] to 8 digits of accuracy.

The error for the trapezoidal