Math question: According to the Fundamental Theorem of Calculus, if f(x) is continuous on [a, b], and F(x) is an antiderivative of f(x), what is the definite integral from a to b of f(x) dx?
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What is the integral of f(x) = x^3 + 2x^2 - 4x + 5 with respect to x?
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Find the equation of a hyperbola with foci at (-3,0) and (3,0), and the distance between any point on the hyperbola and its corresponding directrix is 5.