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Let p(x) be a function defined on R s...

Let `p(x)` be a function defined on `R` such that `(lim)_(x->oo)(f(3x))/(f(x))=1,\ p^(prime)(x)=p^(prime)(1-x),\ for\ a l l\ x in [0,\ 1],\ p(0)=\ 1a n d\ p(1)=41.` Then `int_0^1p(x)dx` equals a.`sqrt(41)` b. `21` c.`41` d. `42`

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