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Let f: [-2, 3] -> [0, oo) be a continu...

Let `f: [-2, 3] -> [0, oo)` be a continuous function such that `f (1-x) =f(x)` for all `x in [-2,3]`.If `R_1` is the numerical value of the area of the region bounded by `y = f(x), x-2, x = 3` and the axis of `x and R_2 =int_-2^3 x f(x) dx` , then

A

`3R_1=2R_2`

B

`2R_1=3R_2`

C

`R_1=R_2`

D

`R_1=2R_2`

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