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NVAHardJEE Main 2025 · 24 January, Shift 1Linear Differential Equations

Mathematics Question from JEE Main 2025 · 24 January, Shift 1

Let ff be a differentiable function such that

2(x+2)2f(x)−3(x+2)2=10∫0x(t+2)f(t) dt2(x + 2)^2 f(x) - 3(x + 2)^2 = 10\int_0^x (t + 2) f(t)\,dt

for x≥0x \geq 0. Then f(2)f(2) is equal to _____.

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