Mathematics → Subject Test → 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.
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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.