What is the proof that an area under a curve is the definite integral of that function? - Quora

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Is there any way to show why/how the area under the curve is the integration of a function, or is just a definition? - Quora

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Finding the Area of a Region in the Plane Using the Definite Integral of a Function of x, Calculus

What is the proof that an area under a curve is the definite integral of that function? - Quora

How to find the area under the curve y = 3x² from x = 1 to x = 2 - Quora

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Finding the Area of a Region in the Plane Using the Definite Integral of a Function of x, Calculus

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What are the differences between area under curve (single integral) and line integral? - Quora

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