New answers tagged

2 votes

How to justify teaching students to rationalize denominators?

When we work with numbers of the form $a+b\sqrt{2}$ (with $a$ and $b$ rational), it is useful to rationalize. For example, to determine that the set of numbers of that form is closed under division. ...
Gerald Edgar's user avatar
  • 7,369
1 vote

Should we avoid indefinite integrals?

Question: What is the function, having $\sin(x)$ as its derivate? Answer: There are many of them. Here they are (some of them): Question: So many? But there are resemblances. Answer: Indeed: they ...
Dominique's user avatar
  • 1,562
1 vote

Should we avoid indefinite integrals?

I may provide yet a third detailed answer to this question, but I am not ready yet. However, this remark is too long for a comment. Historically, there was indeed a notion of "indefinite integral&...
Alexey's user avatar
  • 331

Top 50 recent answers are included