Solve x²f(x)-x = 4∫₀ˣ t f(t) dt | Calculus JEE Main 2023

JEE MAIN 2023

10-01-23 S1

Question

Let $f$ be a differentiable function such that $x^2 f(x)-x=4 \int_0^x t f(t) d t, f(1)=\frac{2}{3}$. Then $18 f(3)$ is equal to

Select the correct option:

A

160

B

210

C

180

D

150

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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