Let f: [1, ∞) → [2, ∞) be a differentiable function. If 10∫₁^x f(… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 2 April, Shift 2Linear Differential Equations

Let $f : [1, \infty) \to [2, \infty)$ be a differentiable function. If $10\int_{1}^{x} f(t) \, dt = 5x f(x) - x^5 - 9$ for all $x \geq 1$ , then the value of $f(3)$ is :](streamdown:incomplete-link)

A
$18$
B
$32$
C
$22$
D
$26$

Answer & step-by-step solution

Practice more Linear Differential Equations questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Linear Differential Equations

Answer & step-by-step solution

Practice more Linear Differential Equations questions

Related questions