Let be continuous on and let

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

Problem

Let

f

be continuous on

[0,4]

and let

F(x)=\int_{1}^{x} f(t)\,dt

. Which of the following equals

\displaystyle \frac{dF}{dx}

? (a)

\displaystyle \int_{1}^{x} f'(t)\,dt

(b)

F(x)

(c)

f(x)

(d)

F'(1)