Practice question · True or false
The Fundamental Theorem shows that differentiation and integration are inverse operations.
Hints
- What does differentiating an area function give back?
- , then .
Show the answer
True
Why
True. Part 1 says differentiating the accumulated-area function returns the integrand; Part 2 says a definite integral can be evaluated by any antiderivative. Linking area to slope, two apparently unrelated ideas, is what turned integration from a limit computation into an algebraic one.
Practise The Fundamental Theorem of Calculus
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