Explain in one or two sentences why

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Explain in one or two sentences why, if

f

is continuous at

x=c

, then

\dfrac{d}{dx}\left(\displaystyle\int_{a}^{x} f(t)\,dt\right)\bigg|_{x=c}=f(c)