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Let f(x) =intsqrtx/((1+x)^2)dx(xge0) . T...

Let `f(x) =intsqrtx/((1+x)^2)dx(xge0)` . The f(3) - f(1) is equal to :

A

`-pi/6+1/2+sqrt3/4`

B

`-pi/12+1/2+sqrt3/4`

C

`pi/6+1/2-sqrt3/4`

D

`pi/12+1/2-sqrt3/4`

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