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Question

Approximate the area under the graph of f(x)=x^2+7 and above the x-axis using left endpoints from x=0 to x=6 with the number of rectangles n=3

Answer 1

Δx = (6 - 0)/3 = 2; Area A ≈ L₃ = [(0² + 7) + (2² + 7) + (4² + 7)]·2 = 82