Question

Is there a difference between an integral and a “primitive function”?

Answer 1

Please see below.

Explanation:

.

If by integral you mean indefinite integral then there is no difference.

By definition, the primitive function `F(x)` is the indefinite integral of a function `f(x)` that includes a constant `C`. This means if you take the derivative of this primitive function you should end up with the original function:

`F(x)=intf(x)+C`