Let a differentiable function f satisfy f(x)+∫₃ˣ (f(t))/t d t=√(x+1), x ≥ 3. Then 12 f(8) is equal to:

Differential Equations: JEE Main 2023 Mathematics question

JEE Main 2023 · 31 Jan, Morning shift · Q3502

JEE Main 202331 Jan, Morning shiftMathematicsMediumDifferential Equations163× since 2002

Let a differentiable function

f

satisfy

f(x)+\int_\limits{3}^{x} \frac{f(t)}{t} d t=\sqrt{x+1}, x \geq 3

. Then

12 f(8)

is equal to :

JEE Main 2023 · 31 Jan, Morning shift · Q3502

JEE Main 202331 Jan, Morning shiftMathematicsMediumDifferential Equations163× since 2002

Let a differentiable function

f

satisfy

f(x)+\int_\limits{3}^{x} \frac{f(t)}{t} d t=\sqrt{x+1}, x \geq 3

. Then

12 f(8)

is equal to :