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JEE Math Practice Question

Let y = y(x) be the solution of the differential equation $(x^2 + 1)y' - 2xy = (x^4 + 2x^2 + 1)\cos x$, $y(0) = 1$. Then $ \int\limits_{-3}^{3} y(x) \, dx $ is :

  1. A.36
  2. B.24
  3. C.18
  4. D.30

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