The value of _ n _ k=1 ^n n^3 (n^2 + k^2)(n^2 + 3k^2) is:

JEE Main 2024 Mathematics question

The value of is:

Answer: (C)

The limit is ∫₀¹dx/((1 + x²)(1 + 3x²)) = (1/2)∫₀¹[3/(1 + 3x²) − 1/(1 + x²)]dx =

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Question ID VK-017084