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If int(0)^(1) (dx)/(sqrt(1+x)-sqrtx)= (k...

If `int_(0)^(1) (dx)/(sqrt(1+x)-sqrtx)= (k)/(3)` then k= ….

A

`sqrt2 (2 sqrt2-2)`

B

`(sqrt2)/(3) (2-2 sqrt2)`

C

`(2 sqrt2-2)/(3)`

D

`4 sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
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