Brain Teaser - Area enclosed by a parabola and a line

[fhub]

(09-15-2015 05:08 PM)Gerson W. Barbosa Wrote:  I am not familiar with the Prime, but I think it can handle that, can't it?

Well, I've tried it first in Xcas, but I couldn't even solve the cubic equation x^3+u*x^2+u^2*x+1/(4*u^3)+u^3=0 for the left intersection point (and I've tried all kinds of solve functions).
Then I've tried it also in the HP-Prime emulator (in CAS mode), but with the same result: no solution.
So I gave up - I know why I stay with my good old Derive CAS!

Franz