Let f : R → R be a twice differentiable function such that f(2) = 1. If F(x) = xf(x) for all x ∈ R, _0^2...

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Let f : R → R be a twice differentiable function such that f(2) = 1. If F(x) = xf(x) for all x ∈ R, _0^2 xF'(x)dx = 6 and _0^2 x^2F''(x)dx = 40, then F'(2) + _0^2 F(x)dx is equal to

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(1)

JEE Main 2025 Mathematics question

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