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

Let `p(x)` be a function defined on R such that `underset(xrarr infty)(lim)(p(3x))/(p(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
a) `sqrt(41)`
b) `21`
c) `41`
d) `42`

A

`sqrt(41)`

B

`21`

C

41

D

42

Verified by Experts

The correct Answer is:

B

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