blackpenredpen Drama 100 integrals (World Record?)

In this video I will discus a mistake made by blackpenredpen (bprp) in his video 100 integrals (world record?)
In his video he claims that we don't have to worry about an absolute value and that is exactly where I am going to prove him wrong.
#math #mathematics #maths #calculus #integral #integration_trick

[benno]

Nice correction! We may note that the result should have a positive derivative everywhere (where it is defined), showing that you are correct. When you put sgn x outside of the integral I get a little nervous though. You say it is constant, but it clearly takes on different values. Does this work because sgn x only varies in a single point?