ExamHabit
Practise free

JEE Main 2019 · 10 Jan · Shift II

JEE Main 2019 Mathematics question on Definite Integrals and Areas

The value of ∫−π/2π/2dx[x]+[sin⁡x]+4\int_{-\pi/2}^{\pi/2} \frac{dx}{[x] + [\sin x] + 4}, where [t][t] denotes the greatest integer less than or equal to tt, is
  1. A.
    112(7π−5)\frac{1}{12}(7\pi - 5)
  2. B.
    112(7π+5)\frac{1}{12}(7\pi + 5)
  3. C.
    310(4π−3)\frac{3}{10}(4\pi - 3)
  4. D.
    320(4π−3)\frac{3}{20}(4\pi - 3)
Show answer

Correct option: D

[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