Asked by Jose

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

Answers

Answered by 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.
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