Let be a continuous function on and define

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

Problem

Let

f

be a continuous function on

[2,7]

and define

F(x)=\int_{2}^{x} f(t)\,dt

. For

2<x<7

, which of the following equals

F'(x)

? (a)

f'(x)

(b)

f(x)

(c)

\displaystyle \int_{2}^{x} f'(t)\,dt

(d)

F(x)