Why does integrating the function of a curve give you the area under the curve?

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Australia Magic Monk
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You have probably been taught that if you want to find the area under a function / line, you will integrate the equation of the line. But why is it that when you integrate the equation of the line, you get the area underneath the line? Here is a full explanation. p.s. You will need to know basic limits and how to differentiate using first principles.



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area underneath a line
proof integration