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Project for AP Calculus back in December. I'm showing off my approach to calculating the integral of a graph using brute computation instead of the fundamental theorem of calculus. I used this project to confirm my calculations by hand. It was tedious. The simplest explanation for an integral is that it is the area under a function curve/line/whatever. It is also the antiderivative, or in other words the function whose y-value determines the instantaneous rate of change (derivative) of another function. I was NOT supposed to use the actual integral to solve, so I resorted to logical calculating to approximate the area.