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## Main Question or Discussion Point

Given an indefinite integral,

[tex]

\int f(x) dx = F(x) + C,

[/tex]

I am having some problems in understanding what this indefinite integral "is". The RHS is clearly a function, but what is the LHS? Judging by the equals sign, it should also be a function, but seemingly it isn't because there's no place at which to plug in a function argument (aka "x"). There is an "x" appearing on the LHS, but this is obviously a bound variable...

Of course I know how to use antiderivatives, but what I am trying to grasp here is the "nature" of an indefinite integral - what kind of object is it?

[tex]

\int f(x) dx = F(x) + C,

[/tex]

I am having some problems in understanding what this indefinite integral "is". The RHS is clearly a function, but what is the LHS? Judging by the equals sign, it should also be a function, but seemingly it isn't because there's no place at which to plug in a function argument (aka "x"). There is an "x" appearing on the LHS, but this is obviously a bound variable...

Of course I know how to use antiderivatives, but what I am trying to grasp here is the "nature" of an indefinite integral - what kind of object is it?