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Let's analyze each statement:A. ∫ f(x)dx = 0. This is generally not correct. The indefinite integral of a function f(x) is F(x) + C (where F'(x) = f(x)), which is a function, not necessarily zero. A definite integral ∫ab f(x)dx can be zero for specific functions and limits, but the statement ∫ f(x)dx = 0 (without limits) is not generally true for all f(x).B. ∫ f(x)dx = ∫ f(x)dx. This is a tautology (a statement that is true by definition). It states that something is equal to itself.C. ∫ab f(x)dx ≤ ∫ab f(x)dx if a < b. This is also trivially true, as any value is less than or equal to itself.D. ∫ab f(x)dx ≤ ∫ab g(x)dx if f(x) ≤ g(x) in [a,b]. This is a correct property of definite integrals: if one function is less than or equal to another over an interval, its integral over that interval will also be less than or equal.Therefore, statement A is the one that is not generally correct.