MathsJEE Main 22 Jan 2026, Shift 1·Q9·MCQ·Moderate

Differential Equations · Integral equation to differential equation

Let

f : [1, \infty) \to \mathbb{R}

be a differentiable function, If

6\int_1^x f(t)\,dt = 3xf(x) + x^3 - 4

for all

x \ge 1

, then the value of

f(2) - f(3)

is

(1) $-4$
(2) $-3$
(3)4
(4)3

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