Let f : [- 1 , 2] → [0 , ∞) be a continuous function such that f (x) = f (1 - x) for all x ∊ [- 1 , 2]. Let R1 = 2∫−1xf(x)dx, and R2 be the area of the region bounded by y = f (x), x = −1, x = 2, and the x-axis. Then[JEE Adv 2011 P2]

Question

Let f : [- 1 , 2] → [0 , ∞) be a continuous function such that f (x) = f (1 - x) for all x ∊ [- 1 , 2]. Let R1 =

2

∫

−1

xf(x)dx, and R2 be the area of the region bounded by y = f (x), x = −1, x = 2, and the x-axis. Then

[JEE Adv 2011 P2]

Accepted Answer

Correct Answer is : 2R1 = R2

Answer

Answer

Answer

Answer

IIT JEE Advanced 2011 Paper 2