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

Let `p(x)` be a function defined on R such that `lim_(xrarr infty) f (3x)/(f(x))=1,p'(x)=p'(1-x),"for all" x in [0,1],p(0)=1 and p(1)=41."Then" , int_(0)^(1)p(x) dx` equals

`sqrt41`

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