Let , where is continuous and for every in the interval . Describe the monotonic…

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

Problem

Let

g(x)=\displaystyle\int_{3}^{x} f(t)\,dt

, where

f

is continuous and

f(t)>0

for every

t

in the interval

(1,4)

. Describe the monotonic behavior of

g

(1,4)