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

Let `f : [-1, 2]to [0, oo)` be a continuous function such that `f(x)=f(1-x), AA x in [-1, 2]`. If `R_(1)=int_(-1)^(2)xf(x)dx` and `R_(2)` are the area of the region bounded by `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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