Let f:[-1,2] [0, ) be a continuous function such that f(x)=f(1-x), x [-1,2] . If R₁= _ -1 ^2 x f(x) d x and R₂ is the area of the region bounded by y=f(x), x=-1, x=2 and the X-asis. Then

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Correct answer: A. 2 R₁=R₂

[ . as _a^b f(x) d x= _a^b f(a+b-x) also .f(1-x)=f(x) ] from (iii) and (iv) 2 R₁=R₂

Let f:[-1,2] [0, ) be a continuous function such that f(x)=f(1-x), x [-1,2] . If R₁= _ -1 ^2 x f(x) d x and R₂ is the area of the region bounded by y=f(x), x=-1, x=2 and the X-asis. Then

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