Question

Why adding a constant term does not affect the potential

Answer 1

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If you mean: why do we always add a constant value to an indefinite integral, then the answer is that adding a constant to a function does not change its derivative, so there are several antiderivatives for any function, all of them equal up to a constant term.

Answer 2

Explanation:

If you mean: why do we always add a constant value to an indefinite integral, then the answer is that adding a constant to a function does not change its derivative, so there are several antiderivatives for any function, all of them equal up to a constant term.