Integrals involving absolute value function - Integral of Absolute value - Calculus

In this video of CALCULUS we learn step by step how to integrate functions
involving absolute value function.
Definite integrals involving absolute values can be tricky due to the non-differentiable nature of the absolute value function at certain points. The key to solving such integrals is to split the integral into pieces where the absolute value function is either entirely positive or entirely negative.
Find the critical points: Identify the points where the argument of the absolute value changes sign. Solve f(x)=0 if ∣f(x)∣ is the absolute value function.

Split the integral: Use the critical points to divide the interval of integration into sub-intervals. On each sub-interval, replace the absolute value with its positive or negative counterpart.

We do a lot of examples from easy to hard.