A continuous function satisfies for and for

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

Problem

A continuous function

f

satisfies

f(t)>0

for

0<t<3

and

f(t)<0

for

3<t<6

. Let

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

. Describe whether

G

is increasing or decreasing on the intervals

(0,3)

and

(3,6)