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n = 4; xx = Table[2 (j - 1) / (n - 1), {j, 1, n}] ff = Table[Cos[xx[[j]]^2], {j, 1, n}] Sum[(xx[[j]] - xx[[j - 1]]) ff[[j]], {j, 2, n}] Sum[(xx[[j]] - xx[[j - 1]]) ff[[j - 1]], {j, 2, n}]