Consider the function, f(x) = 1 1 + x 2 . a. (10 pts) Compute Z 1 −1 f(x) dx using five point Simpson’s method (two Simpson partitions). Show all the calculations in exact arithmetic (i.e. use fractions throughout). b. (15 pts) Partition the interval [−1, 1] into 5 subintervals. For this partition, compute Z 1 −1 f(x) dx using trapezoid and midpoint methods. Show all the calculations in exact arithmetic
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