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