Which of the following best completes the statement of the Fundamental Theorem of…

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Which of the following best completes the statement of the Fundamental Theorem of Calculus (Part 1)? Let

f

be continuous on an interval containing

a

. If

F(x)=\displaystyle\int_{a}^{x} f(t)\,dt

, then

F'(x)=

____. (a)

f(a)

(b)

\displaystyle\int_{a}^{x} f(t)\,dt

(c)

f(x)

(d)

f(x)-f(a)