Fundamental Theorem of Calculus

Fundamental Theorem of Calculus:The fundamental theorem of calculus 1 handled the differentiation, integration and inverse operations are process here now.Significant of Fundamental Theorem of Calculus 1:-Let [f(x)] is a continuous function on the closed interval [[a, b]] .Let the area function [ A(x)] be defined by [A(x) = int_a^xf(x)dx for xgt=a].Then [A'(x) = f(x)] for all [x in [a,b]].Let [f(x)] be a continuous function defined on an interval [[a,b].].If [ intf(x)dx = F(x)] then [ int_a^a f(x)dx = F(x)]^b_a =F(b) - F (a) ] is called the definite integral or [f (x) ] among the limits [a] and [b].This declaration is also known as fundamental theorem of calculus 1.We identify [b] the upper limit of [x] and [a] the lower limit.If in place of [F(x)] we take [F(x) +c ] as the value of the integral, we have:[= [F (b) + c] - [F (a) + c]]

[= F (b) + c - F (a) - c]

[= F (b) - F (a)] .