CalcFunTheorem2 - a to b , then the integral of f(x) from a...

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Suppose f(x) is the derivative (rate of change) of F(x), and f(x) is above the x-axis from the interval a to b . f(x) is the slope of F(x), and since f(x) is always positive, F(x) is always increasing from a to b . The integral of f(x) is the net change in F(x), and since f(x) is above the x-axis from
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Unformatted text preview: a to b , then the integral of f(x) from a to b is the area enclosed by the curve f(x) and the x-axis in the interval a to b . The second part of the Fundamental Theorem of Calculus can be explained in the graph shown below....
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