The function is negative on the open interval

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

Problem

The function

f

is negative on the open interval

(2,5)

. Let

g(x)=\displaystyle\int_{0}^{x} f(t)\,dt

. Describe whether

g

is increasing or decreasing on

(2,5)

and briefly state why.