For numbers a1,....,an, define
p(x) = a1x +a2x^2+....+anx^n for all x. Suppose that:
(a1)/2 + (a2)/3 +....+ (an)/(n+1) = 0
Prove that there is some point x in the interval (0,1) such that p(x) = 0© BrainMass Inc. brainmass.com March 4, 2021, 5:48 pm ad1c9bdddf
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Ok, we have:
Now let's take the integral of this expression ...
A proof is provided for a real analysis problem using summation integrals. The expert proves there is some point within an interval.