Suppose and for every in the interval

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

Problem

Suppose

g(x)=\displaystyle\int_{1}^{x} f(t)\,dt

and

f(t)<0

for every

t

in the interval

2\le t\le 6

. Describe how

g

behaves on

2\le x\le 6

, and briefly explain why.