# Integration of Absolute Value Function

First of all remember the definition of Absolute Value, So, we can define absolute value as a piecewise function. Now integrate the following absolute function.# Related Questions:

**Solution:**

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

**Answer**

**Solution:**

**Answer**