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@Agent New Mexico, If you’re actually curious to know the answer, I’ll do my best to give you one. Imagine you have a line and it only goes from x=0 to x=5 and. We’ll call this line f(x). We want to find the area under this curve. An “integral” is a way to do that. If it is “bounded,” like how our line is only going from 0 to 5, then when doing the integral of f(x) from x=0 to x=5, the result will not need a “c” because “c” means a constant. We have already taken into account the constant term by bounding our integral to constant x values (in simple terms). BUT if we did not, like in the case in the picture, we need to put an undefined constant term after completing the integral. Many people forget this when first learning the concept. If you know derivatives, an integral is the opposite operation of a derivative, or an “antiderivative,” akin to how addition is the opposite of subtraction. It’s like calling an addition symbol an “antisubtraction” symbol, if that makes sense.
Haha. Math jokes. *smiles in not getting it*