MCQMediumJEE Main 2023 · 31 January, Shift 1Linear Differential Equations

Mathematics Question from JEE Main 2023 · 31 January, Shift 1

Let a differentiable function ff satisfy

f(x)+3xf(t)dt=x+1,x3.f(x) + \int_3^x f(t) \, dt = \sqrt{x+1}, \quad x \geq 3.

Then 12f(8)12 f(8) is equal to:

  • A

    3434

  • B

    1919

  • C

    1717

  • D

    11

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