Let f: [1,∞) → ℝ be a differentiable function. If 6∫₁^x f(t) dt =… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 22 January, Shift 1Linear Differential Equations

Let $f : [1,\infty) \to \mathbb{R}$ be a differentiable function. If $6\int_{1}^{x} f(t)\,dt = 3x f(x) + x^3 - 4$ for all $x \ge 1$ , then the value of $f(2) - f(3)$ is](streamdown:incomplete-link)

A
$3$
B
$-4$
C
$-3$
D
$4$

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