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Why do we end up with f(x) instead of f(t) on the second fundamental theorem of calculus?
13 years ago

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Steve
You are integrating f(t) between the limits a and x

f(a) is just a constant, and goes away when taking F'

but F(x) is a function and its derivative F'(x) is f(x).

t is just a dummy variable used to define the integrand.
13 years ago

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