Let where is continuous on

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

Problem

Let

G(x)=\displaystyle \int_{3}^{x} f(t)\,dt

where

f

is continuous on

\mathbb R

. Which of the following expressions equals

G'(x)

for all real

x

? (a)

f'(x)

(b)

-f(x)

(c)

f(x)

(d)

\dfrac{f(x)-f(3)}{x-3}