Mathematics

Mathematics

Problem

Which of the following correctly describes the result of the expression ∫f(x) dx\int f(x)\,dx? a) The exact numerical area under y=f(x)y=f(x) from x=ax=a to x=bx=b. b) A family of antiderivatives of f(x)f(x) plus an arbitrary constant CC. c) A single antiderivative of f(x)f(x) (no constant term). d) The limit of the sum ∑f(xi) Δx\sum f(x_i)\,\Delta x as Δx→0\Delta x \to 0 over [a,b][a,b].

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