🛠️ JEE➗ Maths

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 …

Q1

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

[JEE Main 2023, 10 Apr (Shift 1)]

a

\( 160 \)

b

\( 210 \)

c

\( 180 \)

d

\( 150 \)

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149

Practice more JEE Maths PYQs

See every question on Definite Integration, or browse the full JEE question bank.

See all questions on Definite Integration →