ExamHabit
Practise free

JEE Main 2019 · 10 Jan · Shift II

JEE Main 2019 Mathematics question on Definite Integrals and Areas

If ∫xxf(t) dt=x2+∫x1t2f(t) dt\int_x^x f(t)\, dt = x^2 + \int_x^1 t^2 f(t)\, dt, then f(12)f\left(\frac{1}{2}\right) is
  1. A.
    2425\dfrac{24}{25}
  2. B.
    1825\dfrac{18}{25}
  3. C.
    625\dfrac{6}{25}
  4. D.
    45\dfrac{4}{5}
Show answer

Correct option: A

[JEE Main 2019 · 10 Jan · Shift II]

Practise Definite Integrals and Areas the way it is asked

A timed set of real JEE Main Definite Integrals and Areas questions, graded as the exam grades. No sign-up.

Start a Definite Integrals and Areas test

More: all JEE Main Definite Integrals and Areas questions · JEE Main 2019 · Mathematics chapter list