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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 in [0,""1],""p(0)""=""1` and `p(1)""=""41` . Then `int_0^1p(x)dx` equals (1) 21 (2) 41 (3) 42 (4) `sqrt(41)`

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