The integral value of
is 
Further explanation:
The equation of the line can be expressed as follows,

Given:
The value of the function at different values of
can be written as follows,

Explanation:
The function is an increasing function if
, than
and the function is decreasing if 
The
can be obtained as follows,

The equation of line between the points
can be obtained as follows,

Similarly the equation between the points
can be expressed as follows,

The equation between the points
can be expressed as follows,

The equation between the points
can be expressed as follows,

The area under the line
can be obtained as follows,

Similarly the area under the line
can be obtained as follows,

The area under the line
can be obtained as follows,

The area under the line
can be obtained as follows,

Total area can be obtained as follows,

The integral value of
is 
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: College
Subject: Mathematics
Chapter: Integrals
Keywords: function, decreasing, increasing, monotonic, integral, monotone, data is not monotone, table, sketch, possible, graph, integration, area under the curve.