Brain Teaser  Area enclosed by a parabola and a line

09132015, 12:17 AM
Post: #2




RE: Brain Teaser  Area enclosed by a parabola and a line
(09112015 04:57 PM)CR Haeger Wrote: I tried to work the following problem fully by hand and then with CAS help from the HP Prime. Eventually I got to "solutions" on the Prime but it took a lot of variables creation and substitutions to get there. I am sure most here will make quick work of this. * h(x) = (4x² + 1)³/(48x³) * 4/3 at x = 1/2 I've fount the normal lines at x = 1, x = 2 and x = 3, then generalized for X. (Picture later if important). I've used a quadratic solver to generalize the limits of integration. Too lazy to do the remaining by hand: http://www.wolframalpha.com/input/?i=int...%29%29%2CX http://www.wolframalpha.com/input/?i=sol...%29%3D%3D0 Regards, Gerson. 

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