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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

If ₀^1 ( _ r=1 ²⁰¹³ x x^2+r^2 ) ( _ r=1 ²⁰¹³ (x^2+r^2) ) dx = 1 2 [ _ r=1 ²⁰¹³ (1+r^2) - k^2 ] then k =

Options

  1. A2013
  2. B2013!
  3. C2013^2
  4. D2013²⁰¹³

Correct answer

B. 2013!

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