Given , where is continuous, which of the following is equal to…

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

Problem

Given

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

, where

f

is continuous, which of the following is equal to

g'(x)

? (a)

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

(b)

f(x)

(c)

f'(x)

(d)

f(x)-f(1)