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JEE Math Practice Question

If a curve y = f(x) passes through the point (1, 2) and satisfies $$x {{dy} \over {dx}} + y = b{x^4}$$, then for what value of b, $$\int\limits_1^2 {f(x)dx = {{62} \over 5}} $$?

  1. A.$${{31} \over 5}$$
  2. B.10
  3. C.5
  4. D.$${{62} \over 5}$$

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