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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

If dx x^4 (1 + x^3)^2 = a | 1 + x^3 x^3 | + b x^3 + c 1 + x^3 + d , then (where d is arbitrary constant)

Options

  1. Aa = 1 3 , b = 1 3 , c = 1 3
  2. Ba = 2 3 , b = - 1 3 , c = 1 3
  3. Ca = 2 3 , b = - 1 3 , c = - 1 3
  4. Da = 2 3 , b = 1 3 , c = 1 3

Correct answer

C. a = 2 3 , b = - 1 3 , c = - 1 3

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