If (x^4+1) x(x^2+1)^2 dx=A |x|+ B 1+x^2 +c, then A – B is (where c is the constant of integration)

MHT CET 2025 Mathematics question

If , then A – B is (where c is the constant of integration)

Answer: (A)

Write . Then . Integrate: and (put , ). So the

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Question ID VK-103182