Let f : [- 1 , 2] → [0 , ∞) be a continuous function such that f (x) = f (1 - x) for all x ∊ [- 1 , 2]. Let R_1 = \int^{2}_{-1} xf(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 [JEE Adv 2011 P2]

Application of Integration

Section: Mathematics

Question : 21 of 28

Marks: +1, -0

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

∫

−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]

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