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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

Let I_n = ₀^ ( (n + 1 2 )x ) ( x 2 ) dx where n W . If I₁^2 + I₂^2 + I₃^2 + + I₂₀^2 = m ^2 , then find the largest prime factor of m .

Correct answer

5

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