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Question Number 129319 by snipers237 last updated on 14/Jan/21
Provethatiffissuchasf′(x)=f(x)x(1−x−f(x))andf(1)=0butf≇Θ.Then★fistheuniquebijectionfromR∗toRand★limx→0f(x)=+∞andlimx→0xf(x)=0★∫0+∞f−1(y)dy=ζ(2)=∫01f(x)dx
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