The Fundamental Theorem of Calculus establishes a connection between differentiation and integration, two of the main concepts in calculus. There are two parts to this theorem:
- First Part: It states that if a function is continuous on a closed interval, then the integral of a function over that interval is related to its antiderivative.
- Second Part: It suggests that if a function is defined as an integral with a variable upper limit, its derivative is the original function being integrated.
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