Which of the following statements best explains why the symbol “+C” is written after every indefinite integral?
(a) Because integration introduces an arbitrary multiplicative constant, so we write +C to include it.
(b) Because differentiation of a constant is zero, so antiderivatives can differ by an additive constant.
(c) Because C represents the lower limit that is missing in an indefinite integral.
(d) Because the +C shifts the graph so that the antiderivative can be forced to pass through the origin.