Differentiable Function Value Difference (Jee M…

First Order Differential Equations

Hard

Differentiable Function Value Difference

Let ƒ : [1, ∞) → ${\Bbb R}$ be a differentiable function. If $6\int_1^x {f\left( t \right)dt = 3xf\left( x \right) + {x^3} - 4}$ for all x ≥ 1, then the value of f(2) – f(3) is

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