What in the h**l is you point?
Anyone who follows Keith Devlin's posts @Maa.org has seen this.
We all know that today's mathematics education in in the tank.
Keith himself has written on this.
Here is how bad it is. Before I retired, I quit often gave talks to groups of AP calculus teachers that are required by the state.
I would start by making sure that no calculators were active.
Then I would ask about the bounds on
I never had more than three who knew that it had to be between and much less WHY.
Now understand, I see no reason not to use a calculator to find . But I mean it is important to understand what answers are reasonable.
In other words, the questions we ask must enlighten the student.
The way we get the answer is irrelevant. WHAT DO THEY MEAN?
I predict that within 20 years no calculus textbook will have a chapter called Techniques of Integration.