when I started learning integration and my teacher called "C" a constant I questioned her and asked why we call it a constant when the value is never constant, hoping someone can shed some light on this?
2026-03-26 12:45:21.1774529121
why do we call the constant of integration a constant when really its an unknown variable??
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Because you're the amount that you're adding to the antiderivative is constant with respect to the independent variable.
For example in $\int 2xdx=x^2+C$, the $x^2$ part varies with $x$. The $C$ part doesn't.