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What is an integral

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What is an integral?
Integrals ,[object Object],[object Object]
Displacement and area ,[object Object],X 1 X 2 The height of the green rectangle is the displacement of the graph from x one to x two
Displacement and area ,[object Object],X 1 X 2 The height of the orange rectangle is the area of the derivative of the original (and pictured) function
Displacement and area ,[object Object],X 1 X 2 The area between the derivative (shown) and the x axis, the area in blue, would tell the area or total distance the original function traveled.

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What is an integral