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int (overset(n)underset(r=i)pi(x+r))(...

`int (overset(n)underset(r=i)pi(x+r))(overset(n)underset(k=1)sum(1)/(x+k))dx=....`

A

`overset(n)underset(r=i)sum(x+r)`

B

`overset(n)underset(r=i)sum(1)/(x+k)`

C

`overset(n)underset(r=i)sumlog(x+r)`

D

None of these

Text Solution

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The correct Answer is:
A
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Statement -1 Let Delta _(r)=|{:((r-1),n!,6),((r-1)^(2),(n!)^(2),4n-2),((r-1)^(3),(n!)^(3),3n^(2)-2n):}| "then" overset(n+1)underset(r=1)PiDelta_(r)=0 Statement -2 overset(n+1)underset(r=1)Pi Delta_(r)=Delta_(2).Delta_(3).Delta_(4)cdotsDelta_(n+1)