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Consider L=root3(2012)+root3(2013)+......

Consider
`L=root3(2012)+root3(2013)+....+root3(3011)`
`R=root3(2013)+root3(2014)+.....+root3(3012)`
and `I=int_(2012)^(3012)root3(x)"dx"` Then -

A

`L + R lt 2 I`

B

`L + R = 2I`

C

`L + R gt 2 I`

D

`sqrt(LR) = I`

Text Solution

Verified by Experts

The correct Answer is:
A
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