Explain what the sign of a continuous function at a point tells you about whether the…

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

Problem

Explain what the sign of a continuous function

f

at a point

x=c

tells you about whether the accumulation function

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

is increasing or decreasing at

x=c