FTP, identify this theorem, stating that the definite integral of a function from a to b is equal to the difference of the antiderivative at b and the antiderivative at a.
The first person to publish a proof of this was James Gregory. Stokes's theorem utilizes this in multivariable calculus to apply to orientable surfaces. Leibniz used particle motion and infinitesimal changes in distance and time to help generalize it, while Riemann sums can also help to prove it, in both cases only as long as the interval is closed. FTP, identify this theorem, stating that the definite integral of a function from a to b is equal to the difference of the antiderivative at b and the antiderivative at a.
The first person to publish a proof of this was James Gregory.
First {Fundamental Theorem of Calculus} (accept {FTC})