Definite Integration | JEE Main 2025 | Functional Equation

JEE MAIN 2025

28-01-2025 SHIFT-1

Question

Let for some function ${\rm{y}} = f(x),\int_0^x t f(t)dt = {x^2}f(x),x > 0$ and $f(2) = 3$. Then $f(6)$ is equal to

Select the correct option:

A

1

B

2

C

3

D

6

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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