Let . The function satisfies for all other . Determine the open interval(s) on which…

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

Problem

Let

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

. The function

f

satisfies

f(x)<0

(-3,-1)

and

(2,5)

and

f(x)>0

for all other

x

. Determine the open interval(s) on which

g

is decreasing.