If _ 0 ^ 3 15x^ 3 / 1 + x^ 2 + (1 + x^ 2 )^ 3 dx = 2 + 3 , where , are integers, then + is equal to _____.

JEE Main 2022 Mathematics question

If dx = , where , are integers, then is equal to .

Answer: 10

Put : the integral becomes $ 15θ θ dθ / = 15θ θ dθ /( θ ) = 15(θ - 1) θ

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Question ID VK-034799