A curve y=f(x) satisfy the differential ...

A curve y=f(x) satisfy the differential equation `(1+x^(2))(dy)/(dx)+2yx=4x^(2)` and passes through the origin.
The area enclosed by `y=f^(-1)(x),` the x-axis and the ordinate at `x=2//3` is

A

2In2

B

`(4)/(3)In2`

C

`(2)/(3)In2`

D

`(1)/(3)In2`

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