Consider the following limit of the Riemann sums. lim max Ax; →0 n Σ In (u₂ + 2)Ax; on [0, e³] i=1 Here u, is in the sub

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Consider the following limit of the Riemann sums. lim max Ax; →0 n Σ In (u₂ + 2)Ax; on [0, e³] i=1 Here u, is in the subinterval [x¡–1₁, x;], i = 1, 2, 1. Identify a definite integral corresponding to the given limit of the Riemann sums. In (x + 2) dx offen n and Axi = X¡ — X¡-1, i = 1, 2, ..., n. Assume the limit exists. e³ In (x + 2) dx n of 1 In (x + 2) dx [²x+ (x + 2) dx