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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

Given that dx (1 + x^2)^n = x 2(n - 1)(1 + x^2)^ n-1 + (2n - 3) 2(n - 1) dx (1 + x^2)^ n-1 . Find the value of ₀^1 dx (1 + x^2)^4 : (you may or may not use reduction formula given)

Options

  1. A11 48 + 5 64
  2. B11 48 + 5 32
  3. C1 24 + 5 64
  4. D1 96 + 5 32

Correct answer

A. 11 48 + 5 64

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