fundamental theorem of calculus


fundamental theorem of calculus

[¦fən·də¦ment·əl ¦thir·əm əv ′kal·kyə·ləs] (mathematics) Given a continuous function ƒ(x) on the closed interval [a,b ] the functional is differentiable on [a,b ] and F(x) = ƒ(x) for every x in [a,b ], and if G is any function on [a,b ] such that G ′(x) = ƒ(x) for all x in [a,b ], then