MCQMediumJEE Main 2025 · 28 January, Shift 1Linear Differential Equations

Mathematics Question from JEE Main 2025 · 28 January, Shift 1

Let for some function y=f(x)y = f(x), 0xtf(t)dt=x2f(x),x>0\int_0^x t f(t) \, dt = x^2 f(x), x > 0 and f(2)=3f(2) = 3. Then f(6)f(6) is equal to:

  • A

    33

  • B

    11

  • C

    66

  • D

    22

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Practice more Linear Differential Equations questions

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

Related questions