No such thing as "Net Change" and "Total Change" - both are bullshit concepts.
The mainstream math idiots have never understood calculus or even the reasons why it works. There is no "rate of change" or "total change" or any other shit involving "change" because calculus is NOT the study of change and rate of change. Nothing ever changes.
The fucking idiots from MIT and other Ivy League unis are responsible for all this drivel - in particular one very trashy individual called Gilbert Strang.
The fundamental theorem not only requires that both the primitive and derivative need to be SMOOTH, but also that areas are either positive or negative, and always the absolute value of the negative area is taken. If you tried to rotate a solid using their bullshit you might get the wrong volume if it is spread across both negative and positive areas.
So, NOTHING is changing. NOTHING ever changes. And no, there is NO need whatsoever for a CONSTANT of integration.
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