Understanding the Relationship between Differential Equations and Integration

[haoku]

If ds = integration of f(t) dt then can I say:
ds/dt= f(t)?

I am very confuse with that. please help

 

[Tac-Tics]

I'm very confused too with what you're asking.

It *sounds* like you meant:

If s = \int f(x) dx, is it true that \frac{ds}{dx} = f(x)?

If that's not what you mean, please correct me. If it is what you meant, then it's true. It is essentially the fundamental theorem of calculus.

 

[haoku]

Sorry I have corrected and thanks for answering!