If [x] represents G.I.F and (x) represents L.I.F then ∫0n[x]dx∫0n(x)dx=

∫0n[x]dx=∫01[x]dx+∫02[x]dx+.....+∫n−1n[x]dx=(n−1)n2 and ∫0n(x)dx=n(n+1)2

If [x] represents G.I.F and (x) represents L.I.F then ∫0n[x]dx∫0n(x)dx=

∫0n[x]dx=∫01[x]dx+∫02[x]dx+.....+∫n−1n[x]dx=(n−1)n2 and ∫0n(x)dx=n(n+1)2

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If [x] represents G.I.F and (x) represents L.I.F then $\frac{\int_{0}^{n} [x] d x}{\int_{0}^{n} (x) d x} =$

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$\frac{1}{n - 1}$

$\frac{1}{n}$

$\frac{n - 1}{n + 1}$

answer is D.

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$\int_{0}^{n} [x] d x = \int_{0}^{1} [x] d x + \int_{0}^{2} [x] d x + ..... + \int_{n - 1}^{n} [x] d x = \frac{(n - 1) n}{2} a n d \int_{0}^{n} (x) d x = \frac{n (n + 1)}{2}$

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If [x] represents G.I.F and (x) represents L.I.F then ∫0n[x]dx∫0n(x)dx=

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If [x] represents G.I.F and (x) represents L.I.F then $\frac{\int_{0}^{n} [x] d x}{\int_{0}^{n} (x) d x} =$