Let f(x) + 2f ( 1 x ) = x^2 + 5 and 2g(x) - 3g ( 1 x ) = x, x 0. If = _1^2 f(x)dx, and = _1^2 g(x)dx, then...

Question

Let f(x) + 2f ( 1 x ) = x^2 + 5 and 2g(x) - 3g ( 1 x ) = x, x > 0. If = _1^2 f(x)dx, and = _1^2 g(x)dx, then the value of 9 + is :

Accepted Answer

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JEE Main 2025 Mathematics question