Comments and discussion on Valentin's 4th "Then and Now" - Area

[Werner]

(01-21-2023 04:16 PM)J-F Garnier Wrote:  

(01-11-2023 10:17 PM)Albert Chan Wrote:  Let a = 0.831971149978, a+b = a+B/2 = 2.82740261413
Infinite slopes at y = 0 and a, moved to z = 0

Area = \(\displaystyle \int_0^{a+b} f(y)\;dy
= \int_0^{1/2} \Big[\big(f(a\,z) + f(a- a\,z)\big)·a \;+\; f(a+B\,z)·B\Big] \,dz
\)

I read this part of your posts, but honestly didn't understand how you devised the RHS expression from f(y).

Thanks J-F for making me feel a bit less stupid, as I couldn’t figure that one out either!
Cheers, Werner