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Q.

Reciprocal value of  expression  ∫0n(Fractional part of x)  dx∫0n(Integral part of x)  dx=

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a

n(n−1)2

b

2n(n−1)

c

n−1

d

1n−1

answer is C.

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Detailed Solution

∫0n{n}  dx∫0n[x]  dx=n2n(n−1)2=1n−1 So reciprocal =n−1
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Reciprocal value of  expression  ∫0n(Fractional part of x)  dx∫0n(Integral part of x)  dx=