Let f:[−1,2]→[0,∞) be a continuous function such that f(x)=f(1−x)forallx∈[−1,2]˙ Let R1=∫−12xf(x)dx, and R2 be the area of the region bounded by y=f(x),x=−1,x=2, and the x-axis . Then (a)R1=2R2 (b) R1=3R2(c)2R1 (d) 3R1=R2

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Let {f}:{[-{1},{2}]}{[{0},)} be a continuous function such tha

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Let $f : [- 1, 2] \to [0, \infty)$ be a continuous function such that $f (x) = f (1 - x) f or a l l x \in [- 1, 2] ˙$ Let $R_{1} = \int_{- 1}^{2} x f (x) d x,$ and $R_{2}$ be the area of the region bounded by $y = f (x), x = - 1, x = 2,$ and the x-axis . Then (a) $R_{1} = 2 R_{2}$ (b) $R_{1} = 3 R_{2}$ (c) $2 R_{1}$ (d) $3 R_{1} = R_{2}$

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Let

f : [- 1, 2] \to [0, \infty)

be a continuous function such that

f (x) = f (1 - x) f or a l l x \in [- 1, 2] ˙

Let

R_{1} = \int_{- 1}^{2} x f (x) d x,

and

R_{2}

be the area of the region bounded by

y = f (x), x = - 1, x = 2,

and the x-axis . Then (a)

R_{1} = 2 R_{2}

(b)

R_{1} = 3 R_{2}

(c)

2 R_{1}

(d)

3 R_{1} = R_{2}

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Question Text	Let $f : [- 1, 2] \to [0, \infty)$ be a continuous function such that $f (x) = f (1 - x) f or a l l x \in [- 1, 2] ˙$ Let $R_{1} = \int_{- 1}^{2} x f (x) d x,$ and $R_{2}$ be the area of the region bounded by $y = f (x), x = - 1, x = 2,$ and the x-axis . Then (a) $R_{1} = 2 R_{2}$ (b) $R_{1} = 3 R_{2}$ (c) $2 R_{1}$ (d) $3 R_{1} = R_{2}$
Answer Type	Video solution: 1
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