Mathematically, it can be represented as: A = ∫ a b d A = ∫ a b y d x = ∫ a b f ( x) d x. Using the same logic, if we want to calculate the area under the curve x=g (y), y
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Formula For Area Bounded By Curves (Using Definite Integrals) The Area A of the region bounded by the curves y = f (x), y = g (x) and the lines x = a, x = b, where f and g are continuous f (x) ≥ g (x) for all x in [a, b] is The following diagrams
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Now that I have the equation, I can calculate the area under the curve by finding the value of f (10)-f (1) In our example, I have the equation – f (x) = (1.0038/3)*x 3 + (2.1826/2)*x 2 – 1.85x +
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