How do you test the improper integral #int (2x-1)^3 dx# from #(-oo, oo)# and evaluate if possible?
First, let's obtain the indefinite integral
No need to include a constant of integration, this was only calculated to keep it on the side for when it becomes needed for evaluating the improper integral.
This sort of splitting up is necessary when evaluating from
The first limit did not exist, it went to negative infinity. No need to even evaluate the second one, we already know the entire integral must diverge.