Talk:Trigonometric substitution

Hyperbolic substitution

Anyone care to start an article on hyperbolic substitution ? 71.182.215.210 12:56, 7 November 2007 (UTC)

I will try. Nerd271 (talk) 21:46, 31 March 2020 (UTC)

Broken link

The link in the section that reads "Example (see quintic of l'Hôspital):" is broken. --24.207.236.232 (talk) 23:31, 28 November 2007 (UTC)

Cubic secant integral

I think there is an easier way to do the trig substitution of the form sqrt(x^2-a^2) that doesn't leave you in the pit of integrating sec^3(x). I will look into it and update this page accordingly (assuming I can find sources). 134.114.108.56 (talk) 15:18, 5 May 2008 (UTC)

Integrating the cubic secant function is not that hard actually. Integration by parts is your friend. Furthermore, that integral comes up rather often in my personal experience, especially in problems involving arc lengths. Nerd271 (talk) 21:46, 31 March 2020 (UTC)

One of the formulas has been changed

Someone edited one of the formulas in this article last month, replacing a division with a multiplication. Is this new formula incorrect? Jarble (talk) 05:47, 17 December 2017 (UTC)

alternative substitution

Someone may want to try to integrate these alternative substitutions which apparently work in all of the cases introductory calculus students are traditionally taught to use trigonometric substitutions, but with less new things for students to memorize:

Betounes, David; Redfern, Mylan (2017). "The Demise of Trig Substitutions?". The College Mathematics Journal. 48 (4). doi:10.4169/college.math.j.48.4.284.

–jacobolus (t) 04:52, 7 March 2023 (UTC)

I was never taught to memorize but derive. Pattern recognition becomes automatic after a lot of practice. Nerd271 (talk) 02:15, 11 February 2024 (UTC)