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Let y(x) be the solution of the differen...

Let `y(x)` be the solution of the differential equation `dy/dx+(xy)/(x^2-1)=(x^4+2x)/(sqrt(1-x^2)) , x in (-1,1)` and if `y(0)=0`, then `int_(-sqrt3/2)^(sqrt3/2) y dx` is equal to :

A

`pi/3-sqrt3/4`

B

`pi/3+sqrt3/2`

C

`pi/3+sqrt3/4`

D

`pi/6-sqrt3/2`

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The correct Answer is:
A
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