Question

Explain why it is necessary to write "+C" when finding an antiderivative
i know the stands for (C for the constant of integration) but i don't know why its nesessary

Answer 1

the "C" is to cover all possible solutions.

Answer 2

its because the derivative of a constant is zero. so many similar functions could all have same derivative

f(x) = x+2 , g(x) = x +3

f'(x) = g'(x) =1

thus
\[\int\limits_{}^{} 1 dx = x + C\]

Answer 3

thank you so much (: