Mathematics

Mathematics

Problem

Let

f

be a continuous function with

f(t)>0

for

2<t<5

and

f(t)<0

for

5<t<9

. Define the accumulation function

F(x)=\displaystyle\int_{2}^{x} f(t)\,dt

. Describe whether

F

is increasing or decreasing on the intervals

(2,5)

and

(5,9)

.

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