Question

Question #26f07

Answer 1

Every indefinite integral integrates zero to yield the unknown constant of integration. Normally, we do not write the zero but it is there. I will write it with the function `f(x)` and the resulting unknown constant with antiderivative `F(x)`:

`int(f(x) + 0)dx = F(x) + C`

The integration of 0 is the source of C.

Answer 2

The only type of answer to `int (0 )dx` would be any arbitrary constant because the derivative of any constant is zero. So, the antiderivative of `0` is `C`, an arbitrary constant .