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

Question 1

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

(a) R1 = 2R2

(b) R1 = 3R2

(c) 2R1 = R2

(d) 3R1 = R2

Question 2

Answer is (c) 2R1 = R2

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

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

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