The Fundamental Theorem of calculus
if f is continous on an open interval containing a and x and then we first integrate the function f and then differentiate with respect to x, then the result we get is the function f again.
Suppose that f is continuous at a closed interval [a,b] if the function F is defined on a closed interval [a, b] by where a is a real number, Then F is the anti-derivative of f. in other words, F'(x) = f(x) consider the relationships: then f(x) = x2 and Note: We use the dummy variable (t) in the integrand to avoid confusion with the upper limit x. Sometimes the fundamental theorem of…
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