Differentiation and the Fundamental Theorem of Calculus

Abstract

If f, we call the function

$$ F(x) = \int_a^x {f(t)dt} $$

(1)

an indefinite integral of f if any constant c is added to the right side of (1) the result

$$ F(x) = \int_a^x {f(t)dt} + c $$

is also called an indefinite integral.