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

Let `p(x)` be a function defined on `R` such that `p'(x)=p'(1-x)` for all `x epsilon[0,1],p(0)=1,` and `p(1)=41`.
Then `int_(0)^(1)p(x)dx` is equal to

A

`41`

B

`42`

C

`sqrt(41)`

D

`21`

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The correct Answer is:
D
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