Let f : [-1, 2] [0, ) be a continuous function such that f(x) = f(1 - x) for all x [-1, 2]. Let R_1 = _ -1 ^...

Question

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

Accepted Answer

(C)

JEE Advanced 2011 Mathematics question

Solution

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