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Let f:[-1,2] to [0 , oo) be a continuous...

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

A

`R_1=2R_2`

B

`R_1=3R_2`

C

`2R_1 =R_2`

D

`3R_1=R_2`

Text Solution

Verified by Experts

The correct Answer is:
C
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