Integration of Absolute Value FunctionFirst of all remember the definition of Absolute Value,
So, we can define absolute value as a piecewise function. Now integrate the following absolute function.
Consider, x - 2 = 0 and x = 2 which is the turning point.
Now, check that,
x - 2 is negative if x < 2 and
x - 2 is positive if x > 2
So, we can write