1
$\begingroup$

A famous technique in the modification of integrands is the set of “euler substitutions” that provide substitutions for the structure

$$\sqrt{ax^2 +bx+c}$$

That is a fairly common occurence in integration.

I looked on the wikipedia page, and did not find any reference to where Euler introduced them.

Does anybody know in which text euler introduces these substitutions?

$\endgroup$
2
  • 1
    $\begingroup$ I'd be surprised if Euler were really the first person to deal with this: surely the Bernoullis could do this kind of thing, considering the far fancier stuff they did...??? $\endgroup$ Mar 2, 2023 at 21:46
  • $\begingroup$ that's true. I just assumed euler invented these subs based on the name. $\endgroup$
    – Hisham
    Mar 2, 2023 at 23:59

0

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Browse other questions tagged or ask your own question.