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The function y = f(x) is the solution of the differential equation `dy/dx +xy/x^2-1 = x^4+2x/sqrt(1-x^2)` in (-1,1) satisfying f(0) =0. then `Int_-sqrt3/2^sqrt3/2 f(x)dx` is E161

A

`pi/3-sqrt3/2`

B

`pi/3 -sqrt3/4`

C

`pi/6 -sqrt3/4`

D

`pi/6 -sqrt3/2`

Text Solution

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The correct Answer is:
B
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